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.
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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.
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