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The LCM, or least common multiple, is the smallest number that all the members of a given set of numbers can divide into evenly with no remainder.

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Q: How do you explain the LCM?
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Can the lcm of 9 and 17 be less than 17 explain?

No because the lcm is 153


Explain how do you find the the LCM of 3 and 7?

Multiply them together.


Is the LcM of a pair of numbers ever ewual to one of the numbers Explain eith an example?

Yes. The LCM of 9 and 3 is 9.


Is the LCM of a pair of numbers ever less than both numbers explain with an example?

The LCM is never less than the greatest number in the set. The LCM of 4 and 9 is 36.


How do you explain the GCF and LCM of 55 and 275?

Since 55 is a factor of 275, it is automatically the GCF. Since 275 is a multiple of 55, it is automatically the LCM.


Can two numbers have the same LCM as their GCF Explain?

Yes, but only if they are the same number.


How would you explain the LCM of the two numbers is their product?

The LCM of two numbers is their product if and only if the two numbers are co prime, that is their HCF is 1. Otherwise their LCM in not their product, in fact, it is their product divided by their HCF.


How can you determine whether the LCM of two numbers is the product of the numbers or is less than the product of the numbers explain?

If the two numbers have no common factors other than 1, the LCM will be their product. If there are other common factors, the LCM will be less.


Is the LCM of a pair of number ever less than both nubers Explain with an example?

No. A multiple cannot be less than the number it is compared to. An LCM can never be less than the greatest number in the set.


What is the least common multiple of 12 20 and 18?

The Least Common Multiple (LCM) of (12,18,20) is 180.


How do you explain the LCM of 8 and 10?

Prime factors of 8 are 23 Prime factors of 10 are 2 x 5 The LCM is the product of all the primes to their greatest power, so the LCM of 8 and 10 is 23 x 5 = 8 x 5 = 40


Is the LCM of two numbers the product of the two numbers explain in words?

Not always. The product of two numbers will always be a common multiple, but it will not always be least. The product of 4 and 9 is 36. The LCM of 4 and 9 is 36. The product of 4 and 8 is 32. The LCM of 4 and 8 is 16.