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The least common multiple is the smallest number that is multiple of two or more numbers.

10: 10, 20, 30, 40, 50, 60

12: 12, 24, 36, 48, 60

15: 15, 30, 45, 60

The LCM of 10, 12 and 15 is 60.

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Using prime factorisation:

prime factorise each number in power format:

10 = 2 x 5

12 = 2² x 3

15 = 3 x 5

LCM is the product of the highest power of every prime that appears in any of the numbers (across the numbers):

lcm = 2² x 3 x 5 = 60

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7y ago

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