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The LCM and HCF of 6, 72 and 120 by using prime factorization method is:

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L.C.M = 260 and H.C.F = 2

L.C.M = 360 and H.C.F = 6

L.C.M = 230 and H.C.F = 5

L.C.M = 320 and H.C.F = 4

answer is B.

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Detailed Solution

Given 3 numbers 6, 72 and 120.
Prime factorization of given numbers is,
Question Image

Prime factors of 6, 72, 120 are,

6 = 2 × 3 72 = 2 × 2 × 2 × 3 × 3 120 = 2 × 2 × 2 × 3 × 5

The L.C.M is,

⇒ 2 ​ ​ × ​ ​ 2 ​ ​ × ​ ​ 2 ​ ​ × ​ ​ 3 ​ ​ × ​ ​ 3 ​ ​ × ​ ​ 5 ⇒ 360

The LCM of 6, 72 and 120 is 360.
The H.C.F is,

⇒ 2 × 3 ⇒ 6

Therefore, L.C.M is 360 and H.C.F is 6.
Hence, option 2 is correct.

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