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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.

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9y ago
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7y ago

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

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