Question

use prime factorisation to find out the HCF and LCM of 72, 126 and 128. also show that HCF × LCM ≠ product of the three numbers.

Answer 1

Answer:

Step-by-step explanation:

Prime factorisation of 72 = 2×2×2×3×3

Prime factorisation of 126 = 2×3×3×7

Prime factorisation of 168 = 2×2×2×3×7

HCF of 72, 126 and 168 = 2×3 = 6

LCM of 72, 126 and 168

= 2×3×2×2×3×3×7 = 1512

Product of three numbers = 72 × 126 × 168 = 1524096.

While, product of HCF and LCM = 1512×6 = 9072

Therefore, product of three numbers is not equal to Product of their LCM and HCF.