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Express every number in terms of its prime factors.

135 = 3 x 3 x 3 x 5 = 33 x 5

225 = 3 x 3 x 5 x 5 = 32 x 52

45 = 3 x 3 x 5 = 32 x 5

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

The LCM of 135, 225 and 45 is therefore 33 x 52 = 27 x 25 = 675

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15y ago

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