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The greatest common multiple of any two numbers is infinite.

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Q: Can you find the greatest common multiple of two numbers?

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There is really 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.

There is really 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.

There is really 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.

to find the least common multiple of two numbers you must list the factors then you can find out their least common multiple of the two numbers

There cannot be any such thing as a "largest 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.

Related questions

The greatest common multiple of any two numbers is infinite.

You can't find the greatest common multiple in any amount of numbers, the number would be infinite.

Relax. There is no such thing as the "greatest" one.

No. The greatest common multiple of any two or more numbers cannot be determined because the common multiples of any two or more numbers are infinite.

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

There is no such thing as a "greatest common multiple" of a set of numbers. Once you find ANY common multiple (for example, by multiplying the two numbers), that common multiple times 2, or times 3, etc. will also be a common multiple.For many practical problems, you are usually required to find either:The least common multiple, or The greatest common factor.

You need at least two numbers to find something in common between them but the greatest common multiple of any set of integers is infinite.

Trees aren't necessary. The greatest common multiple of any set of numbers is always infinite.

There is really 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.Besides, the word "common" implies that the multiple is common to two or more numbers. There is only one number in the question.

There are no such numbers because there is really no such thing as a "greatest common multiple". If the numbers have 5 as a common multiple then 10 will also be a common multiple and clearly, 10 is greater than 5. So 5 cannot be the greatest common multiple. In fact, 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.