We have :
6 = 2 × 3, 72 = 23 × 32, 120 = 23 × 3 × 5
Here, 21 and 31 are the smallest powers of the common factors 2 and 3 respectively.
So, HCF (6, 72, 120) = 21 × 31 = 2 × 3 = 6
23, 32 and 51 are the greatest powers of the prime factors 2, 3 and 5 respectively
involved in the three numbers.
So, LCM (6, 72, 120) = 23 × 32 × 51 = 360
Remark: Notice, 6 × 72 × 120≠ HCF (6, 72, 120) × LCM (6, 72, 120). So, the product of three numbers is not equal to the product of their HCF and LCM.