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See the related links posted below. It is a good example of calculating the Least Common Multiplier.
Just write a method or function that calculates the LCM for two numbers at a time. Then calculate the LCM for the first two numbers, get the LCM of the result with the third number, etc.Just write a method or function that calculates the LCM for two numbers at a time. Then calculate the LCM for the first two numbers, get the LCM of the result with the third number, etc.Just write a method or function that calculates the LCM for two numbers at a time. Then calculate the LCM for the first two numbers, get the LCM of the result with the third number, etc.Just write a method or function that calculates the LCM for two numbers at a time. Then calculate the LCM for the first two numbers, get the LCM of the result with the third number, etc.
For this you will need a couple of helper algorithms. The first is the GCD (greatest common divisor) which is expressed as follows:procedure GCD (a, b) isinput: natural numbers a and bwhile ab doif a>blet a be a-belselet b be b-aend ifend whilereturn aThe second algorithm is the LCM (least common multiple) of two numbers:procedure LCM (a, b) isinput: natural numbers a and b return (a*b) / GCD (a, b)Now that you can calculate the GCD and LCM of any two natural numbers, you can calculate the LCM of any three natural numbers as follows:procedure LCM3 (a, b, c) isinput: natural numbers a, b and c return LCM (LCM (a, b), c)Note that the LCM of three numbers first calculates the LCM of two of those numbers (a and b) and then calculates the LCM of that result along with the third number (c). That is, if the three numbers were 8, 9 and 21, the LCM of 8 and 9 is 72 and the LCM of 72 and 21 is 504. Thus the LCM of 8, 9 and 21 is 504.
The following function will return the GCD or LCM of two arguments (x and y) depending on the value of the fct argument (GCD or LCM). enum FUNC {GCD, LCM}; int gcd_or_lcm(FUNC fct, int x, int y) { int result = 0; switch (fct) { case (GCD): result = gcd (x, y); break; case (LCM): result = lcm (x, y); break; } return result; }
Factoring numbers into prime numbers, as taught in school, is much too complicated to program. To write a simple computer program, I would use the formula: a x b = lcm(a, b) x gcd(a, d) In other words, lcm(a, b) = a x b / gcf(a, d). The greatest common factor can be found easily with Euclid's Formula. For example, to calculate the greatest common factor of 14 and 10: gcf(14, 10) is the same as gcf(10, 4), where 4 is calculated as 14 % 10. gcf(10, 4) is the same as gcf(4, 2). Again, 2 is calculated as 10 % 4. Once you get a remainder of zero, stop. In this case, 4 % 2 = 0, so 2 is the gcf. In this case, the lcm can be calculated as 14 * 10 / 2.
The LCM of these numbers is 75. LCM is Least common multiple.
See the related links posted below. It is a good example of calculating the Least Common Multiplier.
The LCM is 56.
Numbers that are relatively prime have their LCM as their product.
The LCM is 189.
Just write a method or function that calculates the LCM for two numbers at a time. Then calculate the LCM for the first two numbers, get the LCM of the result with the third number, etc.Just write a method or function that calculates the LCM for two numbers at a time. Then calculate the LCM for the first two numbers, get the LCM of the result with the third number, etc.Just write a method or function that calculates the LCM for two numbers at a time. Then calculate the LCM for the first two numbers, get the LCM of the result with the third number, etc.Just write a method or function that calculates the LCM for two numbers at a time. Then calculate the LCM for the first two numbers, get the LCM of the result with the third number, etc.
The LCM will never be less than the GCF of a set of numbers.
The HCF is always a factor of the LCM of two numbers. The HCF is a factor of both the numbers which are factors of their LCM. Thus the HCF is also a factor of the LCM of the two numbers.
The LCM of these numbers is 720. LCM is Least Common Multiple.
The LCM is 756.
At least 2 numbers or more are needed for numbers to have a LCM
The LCM for the numbers 12 and 15 is: 60