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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.