LLUS5 = 16 X 9 X 5 =720EXAMPLE 2 Find the HCF and LCM of 144, 180 and

1.	LLUS5 = 16 X 9 X 5 =720EXAMPLE 2 Find the HCF and LCM of 144, 180 and 192 by prime factorisation method.SOLUTION I Tsing the
Answer» This question had 192 too with 144 and 180. So here is the solution for that. Factors of 144 = 2×2×2×2×3×3 Factors of 180 = 2×2×3×3×5 Factors of 192 = 2×2×2×2×2×2×3 Common factors of 144, 180, 192 = {2,2,3} LCM (144,180,192) = 2×2×2×2×2×2×3×3×5 = 2880 So, HCF(144,180,192) = 2×2×3 = 12.

LLUS5 = 16 X 9 X 5 =720EXAMPLE 2 Find the HCF and LCM of 144, 180 and 192 by prime factorisation method.SOLUTION I Tsing the

Answer»

This question had 192 too with 144 and 180. So here is the solution for that.

Factors of 144 = 2×2×2×2×3×3

Factors of 180 = 2×2×3×3×5

Factors of 192 = 2×2×2×2×2×2×3

Common factors of 144, 180, 192 = {2,2,3}

LCM (144,180,192) =

2×2×2×2×2×2×3×3×5 = 2880

So, HCF(144,180,192) = 2×2×3 = 12.