Given numbers are 36, 45 and 72
Factorization of 36, 45 and 72
Here, 32 is the smallest power of the common factor 3.
So, HCF (36, 45, 72) = 3 × 3 = 9
23 × 32 × 51 are the greatest powers of the prime factors 2, 3 and 5 respectively involved in the given three numbers .
LCM of these three integers = 2 × 2 × 2 × 3 × 3 × 5 = 360