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I suppose the greatest common multiple could be considered as infinity. Once you calculate the least common multiple, you could keep doubling it forever. You could never determine a greatest common multiple, because every time you decided on a number, you could double it or multiply it by another positive integer, and have an even larger common multiple. There are an infinite number of common multiples.

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Q: What is the definition of greatest common multiple?
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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 definition of greatest common multiple the real definition?

There is no definition - real or otherwise - because there can be no such thing as a "greatest common multiple". Once you find the least common multiple of a set of numbers, you can keep adding the LCM to itself over and over again. Each new number you get will be a common multiple of your set of numbers, but each new number will always be larger than the previous. This means that you can keep adding while the number approaches infinity and you will still never find a greatest multiple.


What is the definition for LCM and GCF?

lcm means least common multiple and gcf mean greatest common factor


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.


What is the greatest common multiple for 70 and 21?

The greatest common multiple is infinite.


What is the greatest common multiple of 29 and 23?

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