HCF and LCM of 6, 72 and 120 are:

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120, 72

6, 360

72, 6

3, 72

answer is B.

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Detailed Solution

Concept: Three numbers are available: 6, 72, and 120. We must determine these numbers' HCF and LCM. Find the factors of all the integers first using the prime factorization method. then identify the factors that are shared by all the numbers. Of all the numbers, that has the greatest common factor (HCF) . Additionally, LCM is the result of numbers' greater power factors. To obtain the LCM of 6, 72, and 120, multiply all the higher power of the components of the numbers.
The following figures are ours: 6, 72 and 120
Now, using the prime factorization method, we can determine the numbers' prime factors:
6=2×372=2×2×2×3×3
Consequently, we must identify the common factors of 6, 72, and 120.
We get: As a factor of 6, 72, and 120, 2×3=6
6 is the HCF of 6, 72, and 120 as a result.
We must now determine the LCM of 6, 72, and 120.
Since 23, 32, and 51 are the higher powers of all the elements of the numbers,
LCM=

2^{3}

3^{2}

5^{1}

=360 is obtained by multiplying all the higher powers of all the number factors.
360 is therefore the LCM of 6, 72, and 120.
Hence, the answer is option 2.

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