Multiples of 6 are 6, 12, 18, 24, 30, 36...
Multiples of 10 are 10, 20, 30, 40...
The LCM of 6 and 10 is 30.
The greatest common multiple could go into infinity.
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There is no greatest common multiple: for whatever value you say is the greatest I can always add their lowest common multiple and get an even greater common multiple.There is a greatest common FACTOR and a LOWEST common multiple:gcf(5, 6) = 1lcm(5, 6) = 30
There is no greatest common multiple. Ever! If x were the greatest common multiple, then what about 2x? Since x is a multiple of 16 and 24 then so also is 2x, so that 2x is a COMMON multiple. And it would certainly be greater that x. So 2x is a common multiple that is greater than the greatest common multiple. What?!
6
Don't you mean least common multiple? The least common multiple is 210.
The least common multiple is 30. The greatest common factor is 3.