Find HCF and LCM of 336 and 54 by Prime Factorization and Verify that?

Find HCF and LCM of 336 and 54 by prime factorisation and verify. Step-by-step solution for CBSE Class 10 Maths Real Numbers chapter.

Prime Factorization of 336 & 54.

336 = 2×2×2×2×3×7

336 = 2⁴ × 3 × 7

54 = 2×3×3×3

54 = 2 × 3³

So,

HCF of (336, 54) = 2 × 3

HCF of (336, 54) = 6

LCM of (336, 54) = 2⁴ × 3 × 7

LCM of (336, 54) = 3024

To verify the answers

Multiplication of LCM x HCF should come equal to the product of both numbers.

HCF × LCM = Product of two numbers.

6 × 3024 = 336 × 54

18144 = 18144

Hence, it is verified.