Find the HCF and LCM of 39, 42 and 60. Use the product of prime factors method

Answer 1

First, we need to find the prime factors of each number:

39 = 3 * 13

42 = 2 * 3 * 7

60 = 2 * 2 * 3 * 5

To find the HCF, we need to identify the common prime factors:

HCF = 3

To find the LCM, we need to identify all prime factors, and take the highest power of each:

LCM = 2^2 * 3 * 5 * 7 * 13 = 5460

Therefore, the HCF of 39, 42 and 60 is 3, while the LCM is 5460.

Answer 2

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