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Q.

Find the LCM and HCF of the integers 12, 15 and 21.

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a

430 and 2

b

410 and 3 

c

410 and 2

d

420 and 3

answer is A.

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Detailed Solution

The given numbers are 12, 15 and 21.
Prime factors of 12, 15 and 21 are as follows.
15=3×5 12=2×2×3 21=3×7 LCM(12,15,21)=2×2×3×5×7 ⇒LCM(12,15,21)=420 ⇒HCF(12,15,21)=3 Therefore, the LCM and HCF of the integers 12, 15 and 21 are 420 and 3 respectively.
Hence, option 1 is correct.
 
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