Question

Find the HCF and LCM of the numbers 336 and 54 and verify the relationship between their HCF , LCM and the two numbers

Answer 1

Answer:

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- H.C.F =6

L.C.M=9,072

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