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

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

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

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

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 Image

Prime 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,

⇒ 22 × 32 × 51 × 71

⇒

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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