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Find the HCF and LCM of 6, 72, and 120 by using the prime factorization method.

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7, 360

3,150

6, 360

5, 370

answer is C.

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Detailed Solution

Concept- Using prime factorization,we will get LCM and HCF for the given numbers.
Given = we have the given numbers

6, 72, and 120

for finding the H.C.F. and L.C.M.
So, now we find the H.C.F.,
Hence, the correct option is 1

6 = 2 \times 3

72 = 2 \times 2 \times 2 \times 3 \times 3

120 = 2 \times 2 \times 2 \times 3 \times 5

For the above factorization the common factors of

6, 72, 125 is,

2 \times 3 = 6

So, the highest common factor of

6, 72 and 120 is 6

And the L.C.M. of the

6, 72 and 120 is

2 \times 2 \times 2 \times 3 \times 3 \times 5 = 360

Hence, the L.C.M. of

6, 72, 120 is 360

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

Hence, the correct option is 3) 6, 360

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