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

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βˆ™ 8y ago
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βˆ™ 6y ago

It is infinity but the lowest common multiple is 210

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Q: What is the gcm of 30 and 40?
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What is the GCM for 26 and 30?

Since there are infinite numbers which are multiples of both 26 and 30, there is no GCM of 26 and 30.


What is the gcm of 24 and 40?

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What is the GCM of 7 and 13?

There can be no GCM (Greatest Common Multiple). Suppose a GCM exists and suppose it is x. That is, x is the GCM of 7 and 13, then 2x is a multiple of both 7 and 13 and is greater than x. This contradicts the statement that x is the GCM. So x cannot be the GCM.