What is the product of LCM and HCF of the following numbers 12,9, and 15.

Answer 1

First, we need to find the LCM (Least Common Multiple) and HCF (Highest Common Factor) of the given numbers.
Prime factorizing the given numbers:
12 = 2 × 2 × 3
9 = 3 × 3
15 = 3 × 5

HCF is the product of the common prime factors raised to their lowest power, which is 3 in this case.

LCM is the product of all prime factors, each raised to their highest power. In this case, we have:
2 × 2 × 3 × 3 × 5 = 180

Therefore, the product of LCM and HCF is:
180 × 3 = 540.

Hence, the product of LCM and HCF of the given numbers 12, 9, and 15 is 540.