Question

Find the LCM of the following with long division method:
(a) 576 and 1440
(b) 625 and 325
c) 270 and 450
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Answer 1

Answer:

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Answer 2

Answer:

Find the prime factorization of 576

576 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3

Find the prime factorization of 1440

1440 = 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

LCM = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5

LCM = 2880

LCM of 625 is 5*5*5*5

LCM of 315 is 5*5*13