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The LCM is the product of the highest power of each prime factor.

Express each number in terms of its prime factors.

49 = 7 x 7 = 72

35 = 5 x 7

21 = 3 x 7

15 = 3 x 5

The highest power of 3 is just 3, of 5 is just 5 and of 7 is 72.

The LCM is thus 3 x 5 x 72 = 735

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Q: What is the LCM of 49 35 21 and 15?
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