The least common multiple of 48 and 64 is times the highest common factor of 12 and 18 ........

Quantitative Aptitude (CPO) LCM, HCF

The least common multiple of 48 and 64 is _____ times the highest common factor of 12 and 18.

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SSC CPO 10th Nov 2022 Shift 1

- Find the least common multiple (LCM) of 48 and 64:

- Prime factorization:

- 48 = 2^4 × 3

- 64 = 2^6

- LCM: 2^6 × 3 = 192

- Find the highest common factor (HCF) of 12 and 18:

- Prime factorization:

- 12 = 2^2 × 3

- 18 = 2 × 3^2

- HCF: 2 × 3 = 6

- LCM of 48 and 64 is 192, and HCF of 12 and 18 is 6.

- Calculate the ratio: 192 / 6 = 32

- Option 2: 32 is the correct choice.

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