Find the LCM and HCF of 180 and 144 by prime factorisation method..

1.	Find the LCM and HCF of 180 and 144 by prime factorisation method..
Answer» Factors of 144 = 2×2×2×2×3×3Factors of 180 = 2×2×3×3×5Factors of 192 = 2×2×2×2×2×2×3Common factors of 144, 180, 192 = {2,2,3}LCM (144,180,192) =2×2×2×2×2×2×3×3×5 = 2880So, HCF(144,180,192) = 2×2×3 = 12.

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