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A number is a multiple of 60 if it's a multiple of 3 and 20 at the same time. It also works with 4 and 15, 5 and 12, or 3, 4 and 5

60 = 2² x 3 x 5 = 3 x 4 x 5 = 3 x 20 = 4 x 15 = 5 x 12

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