The LCM and HCF of 6 and 20 by applying the prime factorization method is:

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L.C.M = 30 and H.C.F = 7

L.C.M = 26 and H.C.F = 3

L.C.M = 60 and H.C.F = 2

L.C.M = 68 and H.C.F = 6

answer is C.

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Detailed Solution

Given 2 numbers 6 and 20.
Prime factorization of 6 is,
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Prime factorization of 20 is,
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Prime factors are,

6 = 2 × 3 = 2 1 × 31

20 = 2 × 2 × 5 = 2 2 × 51

The L.C.M is,

= 2 ​ ​ 2 ​ ​ ​ ​ × ​ ​ 3 ​ ​ 1 ​ ​ ​ ​ × ​ ​ 5 ​ ​ 1 ​ ​

= 2 ​ ​ × ​ ​ 2 ​ ​ × ​ ​ 3 ​ ​ × ​ ​ 5

= 60
H.C.F = 2
Therefore, L.C.M is 60 and H.C.F is 2.
Hence, option 3 is correct.

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