find LCM and HCF of 336, 554 by factorization method
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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 !
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