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The LCM (Least Common Multiple) of 15, 12, and 10 is 60 because it is the smallest multiple that all three numbers share. To find the LCM, you can list the multiples of each number and identify the smallest number that appears in all lists. In this case, the multiples of 15 are 15, 30, 45, 60, etc., the multiples of 12 are 12, 24, 36, 48, 60, etc., and the multiples of 10 are 10, 20, 30, 40, 50, 60, etc. The smallest number that appears in all lists is 60, making it the LCM.
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