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What is the LCM of 8 and 15 if the lesser number is a factor of the greater number?
Wiki User
∙ 11y ago
The LCM of 8 and 15 is 120. If the lesser number were a factor of the greater number, the LCM would be the greater number.
Wiki User
∙ 11y ago
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Can LCM greater of the two numbers if one number is a factor of the other?
Yes. If one number is a factor of the other, the greater number will be the LCM of the two.
What conjecture must be true about the least common multiple of any number pairs in which one number is the greatest common factor of the other number?
Given a pair of numbers, if the lesser of the two is the GCF, the greater of the two is the LCM. This happens when one of the numbers is a factor of the other.
When is the least common multiple of a pair of numbers that number?
When one of the numbers is a multiple of the other, the greater is the LCM and the lesser is the GCF of that set.
What is the least common multiple of two numbers if the lesser number is a factor of the greater number?
Let's try one. 30x2y3z4 + 42x4y5z2 Do the numbers first. Factor them. 2 x 3 x 5 = 30 2 x 3 x 7 = 42 Combine the factors, eliminating duplicates. 2 x 3 x 5 x 7 = 210 For the variables, select the highest exponent. The LCM of the above expression is 210x4y5z4
When a number is a multiple of another the greatest common factor of the numbers is the greater of the numbers?
If the GCF of two numbers is 1, their LCM will be their product. Such numbers are called relatively prime, or co-prime. Any two prime numbers (like 3 and 5) will be that way, but the numbers don't have to be prime (like 4 and 9).
What is the LCM of two numbers when one number is a multiple of the order?
The LCM is the greater number.
What is the LCM of two numbers that have no greater factor than 1?
Their product.
How do you identify the gcf and LCM of a pair of numbers if one number is a factor of the other number?
The GCF is the factor, the LCM is the other one.
What is the LCM of two number that have no greater common factors than one?
If two numbers have no common factor greater then one, then their LCM is the two numbers multiplied together. Example: 9 and 14 have no common factors. Their LCM is 9 x 14, which is 126.
Which is greater the LCM of the number or GCF of the number?
The LCM of a set of numbers will never be less than the GCF.
Which is greater the GCF of a number or the LCM of a number?
The LCM of a set of numbers will never be less than the GCF.
What is greater the GCF of 4 and 8 or the LCM?
Given a set of number, the GCF is a factor of every one of them. As a factor, it cannot be larger than them so the GCF is at most as large as the smallest of the number in the set.The LCM of the same set is a multiple of each element in the set. The LCM must, therefore, be at least as great as the largest element in the set.Thus if x is the smallest member of a set S and y is the largest, thenGCF
