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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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