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The LCM and HCF of 48, 72 and 108 by using prime factorization method is:

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L.C.M = 421 and H.C.F = 22

L.C.M = 439 and H.C.F = 52

L.C.M = 432 and H.C.F = 12

L.C.M = 422 and H.C.F = 42

answer is C.

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Detailed Solution

Given 3 numbers 48, 72 and 108.
Prime factorization of 48, 72 and 108 is,
Question Image

Prime factors of 48, 72 and 108 are,

48 = 2 × 2 × 2 × 2 × 3 72 = 2 × 2 × 2 × 3 × 3 108 = 2 × 2 × 3 × 3 × 3

The L.C.M of 48, 72 and 108 is,

⇒ 2 × 2 × 2 × 2 × 3 × 3 × 3 ⇒ 432

The H.C.F of 48, 72 and 108 is,

⇒ 2 × 2 × 3 ⇒ 12

Therefore, L.C.M of 48, 72 and 108 is 432 and H.C.F is 12.
Hence, option 3 is correct.

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