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Q.

Find the LCM and HCF of the integers 40, 36 and 126.

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a

2500 and 2

b

2110 and 3

c

2520 and 2

d

2420 and 3 

answer is C.

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Detailed Solution

The given numbers are 40, 36 and 126.
Prime factors of 40, 36 and 126 are as follows.
40=2×2×2×5 36=2×2×3×3 126=2×3×3×7 LCM(40,36,126)=2×2×2×3×3×5×7 ⇒LCM(40,36,126)=2520 ⇒HCF(40,36,126)=2 Therefore, the LCM and HCF of the integers 40, 36 and 126 are 2520 and 2 respectively.
Hence, option 3 is correct.
 
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