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There are infinitely many common multiples of 3, 5 and 7, each one 105 larger than the previous one.

Or to put it another way: the common multiples of 3, 5 and 7 are the multiples of their lowest common multiple which is 105. ie their common multiples are all the multiples of 105, of which there is no end - there is an infinite number of multiples of 105 (or any other number [except zero]).

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