Find the LCM and HCF of the integers 336 and 54.

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3024, 42

247, 14

4350, 25

244, 3

answer is D.

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Detailed Solution

The given integers are 336 and 54.
Prime factors of 336 and 54 is as follows.

336 = 2 \times 2 \times 2 \times 2 \times 3 \times 7

54 = 2 \times 3 \times 3 \times 3

LCM = 2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 3 \times 7

\Rightarrow LCM = 3024

HCF = 2 \times 3 \times 7

⇒

42

Therefore, LCM and HCF of the integers 336 and 54 are 3024 and 42 respectively.
Hence, option 4 is correct.

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