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Express each number in terms of its prime factors.

8 = 2 x 2 x 2 = 23

9 = 3 x 3 = 32

10 = 2 x 5

12 = 2 x 2 x 3 = 22 x 3

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

The highest power of 2 is 23, of 3 is 32 and of 5 is 5.

The LCM is therefore 23 x 32 x 5 = 8 x 9 x 5 = 360

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15y ago

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