Find the LCM and HCF of the integers 84, 90 and 12.

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1200 and 6

1260 and 6

1250 and 3

1220 and 2

answer is D.

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Detailed Solution

The given numbers are 84, 90 and 12.
Prime factors of 84, 90 and 12 are as follows.

84 = 2 \times 2 \times 3 \times 7

90 = 2 \times 3 \times 3 \times 7

12 = 2 \times 2 \times 3

LCM (84, 90, 12) = 2 \times 2 \times 3 \times 3 \times 5 \times 7

\Rightarrow LCM (84, 90, 12) = 1260

HCF (84, 90, 12) = 2 \times 3

\Rightarrow HCF (84, 90, 12) = 6

Therefore, the LCM and HCF of the integers 84, 90 and 12 are 1260 and 6 respectively.
Hence, option 4 is correct.

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