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Q: Make a conjecture about what must be true about the least common multiple of any number pairs in which one number is the greatest common factors of the other number?
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What is the greatest common multiple of 473 and 1000?

The greatest common multiple of any set of integers is infinite.


What common factors have 18 as their greatest common multiple?

Any set of factors that had 18 as a common multiple would also have multiples of 18 in common, so 18 can't be greatest. 9 and 6 have 18 as their least common multiple.


What is the greatest cook multiple of 144 120 108?

For practical purposes, there are greatest common factors and least common multiples. The greatest common multiple of any set of integers is infinite.


What is the greatest of the common factors of two or more numbers called?

The greatest common factor between two numbers. There is no term.


What are the greatest common factors and least common multiples of 82 and 123?

The Greatest Common Factor (GCF) is: 41The Least Common Multiple (LCM) is: 246


What is the greatest common multiple of 8 and 12 and the greatest common factors?

The GCF is 4. The LCM is 24. The LCF is 1. The GCM is infinite.


What is the greatest common multiple for 15 and 35?

There can be no greatest common multiple. If x were the greatest common multiple, then 2x would be a still greater common multiple. So x could not be the greatest. Thus there is no such thing as a greatest common multiple.


What is the greatest common factor of 71 and 7n?

71 is a prime number, so its only factors are 1 and 71. Unless n is a multiple of 71, the greatest common factor is 1. If n is a multiple of 71, the greatest common factor is 71.


What is the greatest common multiple of 50 and 85?

The greatest common multiple of any set of integers is infinite.


What is the greatest common multiple of 39 and 35?

The greatest common multiple is infinitely large, the least common multiple is 1365, the greatest common factor is 1.


What is the greatest common factor of 28n and 35?

The prime factors of 28n are 2, 2, 7, and n. The prime factors of 35 are 5 and 7. The common prime factor that is known is 7. If n is 5 or a multiple of 5, the common prime factors are 5 and 7. There are two possibilities: - If n is not 5 or a multiple of 5, the greatest common factor is 7. - If n is 5 or a multiple of 5, the greatest common factor is 5 x 7 = 35.


What is the greatest common multiple of 36 and 90?

Ummmmm. Your question has no answer as it is written. Either you want the greatest common factor or the least common multiple. Here is both. 36 factors to [2 2 3 3] 90 factors to [2 3 3 5] Common factors are [2 3 3] = 18 ◄ LCM is the product of both numbers divided by the GCF. 36 * 90 / 18 = 180 ◄