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First break all the numbers down into their component primes. Then multiply all these resulting numbers back together using all the component from each number while eliminating any duplicates with other numbers.

48 = 2 x 2 x 2 x 2 x 3

40 = 2 x 2 x 2 x 5

24 = 2 x 2 x 2 x 3

so in this case all the parts from the 48 plus the 5 from the 40 which is the only part not duplicated while every part of 24 is duplicated

LCM = (2 x 2 x 2 x 2 x 3) x (5) = 240

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13y ago

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