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

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

1. A
7, 360
2. B
3,150
3. C
6, 360
4. D
5, 370

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### Solution:

Concept- Using prime factorization,we will get LCM and HCF for the given numbers.
Given = we have the given numbers for finding the H.C.F. and L.C.M.
So, now we find the H.C.F.,
Hence, the correct option is 1
$6=2×3$
$72=2×2×2×3×3$
$120=2×2×2×3×5$
For the above factorization the common factors of
$2×3=6$
So, the highest common factor of
And the L.C.M. of the
$2×2×2×3×3×5=360$
Hence, the L.C.M. of

Hence, the correct option is 3) 6, 360

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