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QUESTION

What is the least common multiple of 18, 30, and 50?

##450##

The prime factorisations of ##18##, ##30## and ##50## are:

##18 = 2 xx 3 xx 3##

##30 = 2 xx 3 xx 5##

##50 = 2 xx 5 xx 5##

So these are all factors of:

##450 = 2 xx 3 xx 3 xx 5 xx 5##

and there is no smaller number that is divisible by all of them.

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