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# What does list multiples to find the LCM mean?

Example: 30 and 42 List the multiples. 30, 60, 90, 120, 150, 180, 210 42, 84, 126, 168, 210 Once you hit the same number, you've found the LCM.

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# What does the LCM stand for?

LCM = Lowest Common Multiple. This is the smallest number that is common amongst the multiples of two of more other numbers. For example: The multiples of 3 are: 3, 6, 9…, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, ... The multiples of 5 are: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, ... The common multiples of 3 and 5 are: 15, 30, 45, ... The lowest common multiple of 3 and 5 is the smallest of these, namely 15. An example of its use is for adding fractions as using the lowest common multiple of all the denominators ensures the numbers do not get too big (and cumbersome) (MORE)

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# How to find LCM?

Least Common Multiple of Two Numbers The "least common multiple" is the smallest integer that contains both numbers as factors. It is the product of the two numbers divided b…y any common factors. To determine the least common multiple of two numbers, determine the prime factors of both numbers. Then, determine the prime factors they have in common. Multiply the numbers together, and divide by the prime factors they have in common (the product of these is their "greatest common factor"). Example: Find the least common multiple of 12 and 15. The prime factors of 12 are 2 , 2, and 3 (12 = 2 x 2 x 3) The prime factors of 15 are 3 and 5 (15 = 3 x 5) The only prime factor in common is 3. The least common multiple is (12 x 15) divided by 3. This is 180 / 3 = 60 The least common multiple is 60. Example: Find the least common multiple of 9 and 11. The prime factors of 9 are 3 and 3. The prime factors of 11 are only 11. There are no prime factors in common. The least common multiple is 9 x 11 = 99. Example: Find the least common multiple of 30 and 42. The prime factors of 30 are 2, 3, and 5. The prime factors of 42 are 2, 3, and 7. The prime factors in common are 2 and 3. The least common multiple is (2 x 3 x 5) x (2 x 3 x 7) / (2 x 3) = 210. By representing it as a calculation with prime factors, you can cancel out the divisors, so you have as your reduced calculation 5 x 2 x 3 x 7 rather than 30 x 42 Ă· 6. Least Common Multiple of Three or More Numbers For one method, check the related question "How do you find the least common multiple of three numbers?" in the links below. If you are determining the least common multiple for three or more numbers, it is more complicated because you must divide by prime factors that all or even just a pair of the numbers have in common. This paragraph is not a thorough description of the process, but only intends to give an idea of using prime factors to determine the LCM of three or more numbers. Another method to find the least common multiple of more than two numbers is to take two numbers and determine their least common multiple. Then, take that number and one of the other numbers and determine their least common multiple. Continue calculating the least common multiple, two numbers at a time. If there are four or more numbers, you can find the least common multiple for each pair of numbers, and then the least common multiples of those results. Example: Find the least common multiple of 4, 7, and 9. The prime factors of 4 are 2 and 2. The prime factors of 7 are 7. There are no prime factors in common, so the least common multiple of 4 and 7 is 4 x 7 = 28. Now, find the least common multiple of 28 and 9. The prime factors of 28 are 2, 2, and 7. The prime factors of 9 are 3 and 3. There are no prime factors in common, so the least common multiple of 28 and 9 is 28 x 9 = 252. The least common multiple of 4, 7, and 9 is 252. Example: Find the least common multiple of 2, 3, 7, 8, and 10. Start with the first pair of numbers, 2 and 3. The prime factors of 2 are 2. The prime factors of 3 are 3 There are no prime factors in common, so the least common multiple is 2 x 3 = 6. Take the next pair of numbers, 7 and 8. The prime factors of 7 are 7. The prime factors of 8 are 2, 2, and 2. There are no prime factors in common, so the least common multiple is 7 x 8 = 56. Now, find the least common multiple of both results, 6 and 56. The prime factors of 6 are 2 and 3. The prime factors of 56 are 2, 2, 2, and 7. The prime factors in common are a single 2, so the least common multiple is 6 x 56 Ă· 2 = 168. To finish, find the least common multiple of 168 and the final number, 10. The prime factors of 10 are 2 and 5. The prime factors of 168 are 2, 2, 2, 3, and 7. The prime factors in common are a single 2, so the least common multiple is 168 x 10 Ă· 2 = 840 The least common multiple of 2, 3, 7, 8, and 10 is 840. Least Common Multiple - Exponential Method The LCM (least common multiple) is the smallest positive whole number exactly divisible by two or more given whole numbers. Example: the LCM of 14 and 35 is 70 because 70/14=5 and 70/35=2, and no number smaller than 70 is exactly divisible by 14 and 35. The LCM can also found be for more complex numbers by taking the multiple of the highest power of prime factors from both numbers. For example, the LCM of 72 and 90 is 360, which is the multiple of the highest power of prime factors from both numbers (23 x 33 x 5 = 2 x 2 x 2 x 3 x 3 x 5 = 360). Example: LCM 0f 9 and 25 is 225, which is the multiple of the highest power of prime factors in 9 and 25 (32 x 52). For more than two numbers, LCM can be found by taking the multiple of the highest power of prime factors from all numbers. For example, the LCM of 28, 70, and 98 is 4,900, which is the multiple of the highest power of prime factors from all three numbers (22 x 52 x 72 = 2 x 2 x 5 x 5 x 7 x 7 = 4900). (Factors: 28 = 22 x 7; 98 = 2 x 72; 350 = 2 x 52 x 7) Least Common Multiple of One Number There is no "least common multiple" for a single number, because the least common multiple is the smallest multiple that two or more numbers have in common. Start by taking the prime factorizations of the numbers. Now, for each unique prime, take the maximum number of times it shows up in your original numbers, and multiply these together. Example: LCM of 45, 50, and 16: 45 = 3 * 3 * 5 50 = 2 * 5 * 5 16 = 2 * 2 * 2 * 2 2 shows up at most 4 times 3 shows up at most 2 times 5 shows up at most 2 times so LCM is 2 * 2 * 2 * 2 * 3 * 3 * 5 * 5 = 3600 (MORE)

# Applying the Lower-of-Cost-or-Market Rule

This article explains how to measure and adjust inventory using the lower-of-cost or-market rule.… (MORE)

In Christianity

# Differences Between the Main Synods of the Lutheran Church

While the Lutheran Church is one of the larger denominations of Christianity, what many people do not realize is that there is a number of different synods which define this r…eligion. The differences in these synods ranges, from barely noticeable, to large schisms that keep the churches from being in fellowship with one another. There are three large main synods, as well as a countless number of splinter denominations. Each group has their own set of beliefs, despite the fact that each of them looks to the writings of Martin Luther for guidance in how they conduct their religion.Also called ELCA, this synod is the largest of the Lutheran Churches. ELCA is the only one of the synods to have entered into full fellowship with non-Lutheran churches, and is a member of the World Council of Churches. One of the biggest differences between ELCA and other synods is that ELCA allows for the possibility of errors and cultural limitations within the Bible, and believes it needs to be interpreted. ELCA allows for women to be ordained, which many of the synods do not allow, and is more accepting of homosexuality and abortion than most of the synods are. The Book of Concord, which is the book of rules by which Lutherans have lived since the 16th century, is regarded as more of a guideline by the ELCA for its members, and is thought to be outdated for modern living.This synod is most often referred to as LCMS, and is the second largest branch of Lutheranism. The Missouri synod is more conservative than the ELCA, and holds more closely to the Book of Concord and the teachings of the Bible. Unlike ELCA, the LCMS synod does not allow anyone to take communion within their churches unless they have been accepted as a part of their group and are an LCMS member. LCMS does not ordain women, but they do allow women to be officers in the church. Perhaps the biggest difference between the two main branches is that LCMS believes that the Holy Scriptures should be taken as literal.Also called WELS, the Wisconsin Synod is considerably smaller than the two largest synods, but is still the third largest Lutheran Church. WELS is also the most conservative of the three branches in the United States. WELS considers the Bible to be the unerring word of God and that it should be taken literally. They take a strong stand against both homosexuality and abortion, believing in the sanctity of the marriage union and of life. Women are not allowed to be ordained nor to be officers in the church, however they are allowed to take nonvoting positions where they are not in authority over men.The AFLC was formed from those members of the Lutheran Free Church who did not want to join the ALC when they were merged back in 1962. A smaller organization, they are a fellowship of independent congregations who have chosen not to join with other synods. Their beliefs are also conservative, and most importantly they believe that the Bible scriptures are still relevant to today's current issues of morality and ethics. AFLC also believes that the scriptures of the Bible are inerrant and are the only infallible source of God's wisdom to us. As such women are not allowed to be ordained, and the AFLC takes a strong stand against homosexuality and abortion. The biggest difference between AFLC and other synods is that AFLC is not actually a synod, and each church has more autonomy in its individual teachings than do other churches.ELS is a small synod that was originally known as the Norwegian Synod. It is the only synod in full fellowship with the WELS synod. Like WELS, this synod is very conservative, and follows the writings of Luther as guidance for its beliefs. They also have a strong belief in the spiritual purity of the Bible and their teachings are guided by a desire to adhere to the Bible in all things. They do not allow women in any position of authority much like many of the conservative synods. They also take a strong stand on homosexuality and abortion.Collectively there are millions of Lutherans around the world, but many of these groups are split up by differences in theology. The belief that living in a modern world changes how we should interpret the writings of the Bible and Luther is the main point of division in most of these synods. The other division exists from just how closely we should adhere to the scriptures, and where time and culture differences end and spiritual mandate begins. In many cases the differences between the smaller branches is small and not something laity need to be concerned about.Lutheranism dates back to the 16th century, when Martin Luther pushed for reform in a corrupt medieval Catholic Church. From the push for reform came not only the Lutheran Church but also access to the Bible for the masses. Bibles were not only translated out of Latin and into the languages of the people, the printing press made the Holy Scriptures available to anyone who wanted to read them. (MORE)

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In Creeds

# A Brief History of the Lutheran Religion

The Lutheran religion is a denomination of Protestantism named after Martin Luther. It is the oldest form of Protestantism and was essentially formed in "protest" to the Catho…lic church of the time. Martin Luther was a German monk of the 16th century, and he also did not approve of his name as it was eventually attached to the religion.Luther felt that various practices of the Catholic church at the time conflicted with Biblical teachings. He wrote about those things and tried to expose the abuses and corruption of the church. However, he did not intend to divide from the church and in fact, embraced many other Catholic teachings. Church reform turned out to be useless, despite Luther's best efforts. He was eventually excommunicated, and his beliefs gave root to the Lutheran religion.Many rituals and church practices in Lutheranism are similar or identical to those in Catholicism. However, there are some fundamental differences between the two religions. Perhaps the biggest one is that the Lutherans do not have a pope or pope equivalent. Luther preached that people need to rely on the Bible for salvation, not the pope. Similarly, Lutherans believe that faith in Jesus Christ is all they need to be saved, while Catholics believe that good works and love are also necessary.Lutheranism spread out from Germany and primarily affected the areas of Scandinavia and eventually those immigrants who went to America. Germany remains mostly Lutheran, and Norway, Denmark, Iceland and Sweden call it their state religion. In Finland, more than 80 percent of citizens belong to the Lutheran church. Immigrants from these countries came to the United States in the 17th and 18th centuries, and many eventually settled in the Midwest.The two main bodies of Lutheranism in America are the Evangelical Lutheran Church in America (ELCA) and the Lutheran Church -- Missouri Synod (LCMS). The former is understood to be somewhat more liberal than the latter. The ELCA also accepts communion and fellowship with many other non-Lutheran churches, while the LCMS continues to hold to the belief that Lutherans must not commune with other religions.The Lutheran religion remains one of the largest Protestant denominations and counts more than 60 million members across the globe. The majority of these are in Europe, with the next largest numbers being in Africa and North America.In contrast to the Lutheran church's 60 million members, the Methodist church has 75 million congregants, the Baptist church has 105 million, and the Catholic church has 1.2 billion members. (MORE)

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In Animals

# 26 Pictures of Baby Elephants That Will Melt Your Heart

Though not traditionally the "cutest" of animals, these little pachyderms have stolen our heart with their innocence and antics.Getting some serious family time. This little g…uy is still learning how to swim. Just keep up with mom! I'm faaaaabulouuus! Friends for life! Excellent ball control. "Got your nose!"Stay together.He's so happy! "Come and get it". "My turn!"Imitation is the most sincere form of flattery. Baby elephant in its natural element. Now what?Those ears. So cute.Working on that trumpeting. "I don't want to get up"."Dogpile!" The preferred drink of elephants everywhere. Streeeetchhhh.Anytime is the best time to nap. "Aw yiss".Nothing like a little bit of rough housing. This is the cutest thing ever. Straight from the heart. Kiss on the cheek! (MORE)

In Popular

# 20 Game of Thrones Cosplayers Who Absolutely Nailed It

"Game of Thrones" is a cultural phenomenon that has produced a lot of diehard fans. Some just tune in every week for the newest episode, but others take their obsession to a w…hole new level. Here are some of the most amazing "Game of Thrones" cosplay costumes you'll ever see! (MORE)

Answered

# What are the LCM for 13?

The LCMs (Lowest Common Multiples) for 13 depend upon the other numbers (with which 13 has common multiples), but they will always be a multiple of 13, namely one of: 13, 26…, 39, 52, 65, 78, 91, 104, 117, 130, 143, 156, 169, 182, 195, 208, 221, 234, 247, 260, 273, 286, 299, 312, 325, 338, 351, 364, 377, 390, 403, 416, 429, 442, 455, 468, 481, 494, 507, 520, 533, 546, 559, 572, 585, 598, 611, 624, 637, 650, 663, 676, 689, 702, 715, 728, 741, 754, 767, 780, 793, 806, 819, 832, 845, 858, 871, 884, 897, 910, 923, 936, 949, 962, 975, 988, 1001, 1014, 1027, 1040, 1053, 1066, 1079, 1092, 1105, 1118, 1131, 1144, 1157, 1170, 1183, 1196, 1209, 1222, 1235, 1248, 1261, 1274, 1287, 1300, ... (MORE)

Answered

# What is LCM of 212?

That all depends upon the other number(s) with which 212 has COMMON multiples - one of which will be the Least COMMON Multiple. However, it will be one of the multiples of 212…, namely, one of: 212, 424, 636, 848, 1060, 1272, 1484, 1696, 1908, 2120, 2332, 2544, 2756, 2968, 3180, 3392, 3604, 3816, 4028, 4240, 4452, 4664, 4876, 5088, 5300, 5512, 5724, 5936, 6148, 6360, 6572, 6784, 6996, 7208, 7420, 7632, 7844, 8056, 8268, 8480, 8692, 8904, 9116, 9328, 9540, 9752, 9964, 10176, 10388, 10600, 10812, 11024, 11236, 11448, 11660, 11872, 12084, 12296, 12508, 12720, 12932, 13144, 13356, 13568, 13780, 13992, 14204, 14416, 14628, 14840, 15052, 15264, 15476, 15688, 15900, 16112, 16324, 16536, 16748, 16960, 17172, 17384, 17596, 17808, 18020, 18232, 18444, 18656, 18868, 19080, 19292, 19504, 19716, 19928, 20140, 20352, 20564, 20776, 20988, 21200, ... (MORE)

Answered

# What is the LCM of 43?

This is a trick question. When referring to the Lowest Common Multiple, you are comparing two numbers and finding the lowest multiple that they both have in common. As there …is only 1 number, it isn't comparing it. The LCM of 43 and itself would be 43, because 43 is a multiple of itself. (MORE)