Question

Find the hcf and lcm of 144,180and 192 by prime factorisation method

Answer 1

144=2×2×2×2×3×3=2^4×3^2
180=2×2×3×3×5=2^2×3^2×5
192=2×2×2×2×2×2×3=2^6×3

LCM(144,180,192)=Product of greatest power of each factor
=2^6×3^2×5
=2,880 Ans,