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To solve common multiples, take the prime factorization of each number. As an example, lets look at 14, 50, and 70...

14 = 21 x 71

50 = 21 x 52

70 = 21 x 51 x 71

To find the least common multiple, take each factor present, with the maximum encountered value of its exponent, and multiply them together...

21 x 52 x 71 = 350. The LCM of 14, 50, and 70 is 350.

Not asked, but answered for completeness, to find the greatest common divisor, take each factor present, with the smallest encountered value of its exponent, and multiply them togother. Note that a missing factor effectively has an exponent of zero...

21 x 50 x 70 = 2. The GCD of 14, 50, and 70 is 2.

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Q: How do you solve common multiples?
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