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Q.

The LCM and HCF of 42, 63 and 140 by using prime factorization method is:


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a

L.C.M = 1260 and H.C.F = 7

b

L.C.M = 1210 and H.C.F = 9

c

L.C.M = 1540 and H.C.F = 3

d

L.C.M = 1290 and H.C.F = 6 

answer is A.

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Detailed Solution

Given 3 numbers 42, 63 and 140.
Prime factorization of 42, 63, 140 is,
Question ImagePrime factors 42, 63, 140 are,
42=2×3×7 63=3×3×7 140=2×2×5×7   The L.C.M of 42, 63, 140 is,
⇒ 2 2 × 3 2 × 5 1 × 7 1   ⇒   1260
The H.C.F of 42, 63, 140 is 7.
Therefore, L.C.M of 42, 63, 140 is 1260 and H.C.F is 7.
Hence, option 1 is correct.
 
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