Question

Find HCF and LCM of 336 and 54 by prime factorisation and verify that. LCM HCF = Product of numbers.

Answer 1

Prime factorisation of 336 and 54.

➡ 336 = 2×2×2×2×3×7 = 2⁴ × 3 × 7

➡ 54 = 2×3×3×3 = 2 × 3³

So,

LCM ( 336, 54 ) = 2⁴ × 3 × 7 = 3024.

HCF ( 336, 54 ) = 2 × 3 = 6.

Now,

LCM × HCF = Product of two numbers.

➡ 3024 × 6 = 336 × 54

➡ 18144 = 18144

Hence verified !

Hope it will help you !!!

Answer 2

Answer:

18144 = 18144

Step-by-step explanation:

Prime factorisation of 336 and 54.

➡ 336 = 2×2×2×2×3×7 = 2⁴ × 3 × 7

➡ 54 = 2×3×3×3 = 2 × 3³

So,

LCM ( 336, 54 ) = 2⁴ × 3 × 7 = 3024.

HCF ( 336, 54 ) = 2 × 3 = 6.

Now,

LCM × HCF = Product of two numbers.

➡ 3024 × 6 = 336 × 54

➡ 18144 = 18144

Hence verified !