Find the LCM of 40, 45, 48 by prime factorization method
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Answer:
2*2*2*2*3*3*5
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Answered by
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Answer:
Prime factorization of 40, 48, and 45 is (2 × 2 × 2 × 5) = 23 × 51, (2 × 2 × 2 × 2 × 3) = 24 × 31, and (3 × 3 × 5) = 32 × 51 respectively. LCM of 40, 48, and 45 can be obtained by multiplying prime factors raised to their respective highest power, i.e. 24 × 32 × 51 = 720.
Hence, the LCM of 40, 48, and 45 by prime factorization is 720.
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