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A multiple of a number x is xy where y is any integer. For example, multiples of 3 include 12 (3x4) 15 (3x5) and 36 (3x12)

A common multiple of x and z is any number that can be expressed as a multiple of x or z. For instance 36 is a common multiple of 3 and 4, as it is a multiple of both.

The term "greatest" means the highest valued number. For instance, the greatest out of 4, 68 and 20 is 68. It makes no sense to speak of a "greatest common multiple" as common multiples will go up to infinity. If I have a common multiple m, then 2m, 3m, 4m and so on will also be common multiples.

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Q: What does greatest common multiple mean?
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Related questions

Does the greatest common multiple mean the same as greatest common factor?

no


What does the greatest common multiple mean?

The definition of the greatest common multiple of any two numbers is an infinite number.


What is the gcm of 40 and 32?

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


What is the greatest common multiple of 5 6 7?

Don't you mean least common multiple? The least common multiple is 210.


What is the greatest common multiple of 24 and 52?

There is no greatest common multiple of any integers as whatever number is said to be it, the lowest common multiple of the numbers can be added to get an even greater common multiple. If you mean least common multiple (the lowest (positive) integer that can be divided by the numbers without a remainder), the answer is 312. If you mean the greatest common factor (the greatest (positive) integer that can divide into the numbers without any remainder). the answer is 4.


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 multiple of 473 and 1000?

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


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 multiple of 4 5 and 3?

There is NO greatest common multiple. Suppose x is the greatest common multiple. Then, it is easy to show that 2x will be a common multiple and 2x > x so x cannot be the greatest.


What is the greatest common multiple of 48 and 30?

There can never be a greatest common multiple. If a number, X, is claimed as the greatest common multiple, the 2X is a common multiple, and it is greater than X which contradicts X being the greatest.


What is the greatest common multiple of 3474and 26?

There is no greatest common multiple - whatever common multiple you come up with as the greatest one I can add their lowest common multiple (45162) and get an even higher multiple. There is a greatest common factor, which for 3474 and 26 is 2.