Question

Using set theory, find the LCM and HCF of 48 and 72.

Answer 1

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Answer 2

Answer:

HCF is 24 and LCM is 144

Step-by-step explanation:

The prime factorization of these two are

48 = 2 x 2 x 2 x 2 x 3

72 = 2 x 2 x 2 x 3 x 3

The common factors  2 x 2 x 2 x 3

Hence, the HCF is 24

Now, LCM is

Taking common factors one time and then multiply

∴ LCM=2 x 2 x 2 x 3  x2 x 3=144

Hence, HCF is 24 and LCM is 144