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Question

What is the LCM of 64 and 56?

This question was previously asked in
SSC CGL 2017 (Tier 1) Previous Year Paper (16-Aug-2017) (Shift 1)
The correct answer is

448

Prime factorise: \(64=2^{6}\) and \(56=2^{3}\times7\).

LCM uses the highest power of each prime:

\[\text{LCM}=2^{6}\times7=64\times7=448\]

Hence the LCM is 448.

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Similar Questions

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Important Questions from LCM and HCF

  1. The HCF and LCM of two numbers are 12 and 72, respectively. If the ratio of the two numbers is 2 ∶ 3, then the larger of the two numbers is:

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