SOLUTION: find the least number which is both a multiple of 24 and a multiple of 30.

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Question 323577: find the least number which is both a multiple of 24 and a multiple of 30.
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!

find the least number which is both a multiple of 24 and a multiple of 30.

24 = 4x6 = 2x2x2x3
30 = 6x5 = 2x3x5

Line the factors up so that as many common factors line up vertically
as possible:

 24 -->  2 2 2 3
 30 -->  2     3 5
--------------------
LCM -->  2 2 2 3 5

So multiply 2x2x2x3x5 = 120

Edwin