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