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Q: Is the LCM of a pair of numbers ever less than both numbers?

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No.

No.

No.

No.

No.

No.

No. The LCM of 4 and 6 is 12.

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.

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

No.

It's never less than the largest number.

No. At most, it can be equal to the smaller number.

No, it's never greater than the smallest number.

No, it's never greater than the lesser one.

There is none. The GCF is never larger than both numbers. The GCF is never larger than the smaller number.

A number can't have a factor greater than itself, so the GCF of a pair of numbers can't ever be greater than the smaller number. The GCF of 9 and 18 is 9.

I can't give you an example of when that happens because that doesn't ever happen. The GCF of a pair of numbers can't be larger than the smaller number.

No, it's never greater than the smallest number.

No, it's never greater than the smallest number.

No. The LCM of 9 and 4 is 36.

They are both prime numbers.

No. 102 and 104 have a GCF of 2. 8 and 12 have a GCF of 4.

31

5.1 and 5.35 is one pair.

Yes, if one of the numbers is a multiple of the other.