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I would compare their prime factorizations and select the highest amount of each factor.

Example: 15, 20, 24 and 36

3 x 5 = 15

2 x 2 x 5 = 20

2 x 2 x 2 x 3 = 24

2 x 2 x 3 x 3 = 36

2 x 2 x 2 x 3 x 3 x 5 = 360, the LCM

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Q: What method would you use to find the LCM of a group of 4 numbers explain and give an example?
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