Question

Find the hcf and lcm of 90 and 144 by the prime factorization method

Answer 1

Factors of 90 = 2×3×3×5

Factors of 144 = 2×2×2×2×3×3

LCM(90,144) = 2×2×2×2×3×3×5= 720

Answer → LCM of 90 and 144 is 720.
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Answer 2

hcf
90 = 2 × 3×3×5
144 = 2× 2 ×2 ×2× 3×3
hcf = 2 × 3 × 3 = 18
hcf of 90 and 144 = 18
lcm
90 = 2 × 3 × 3 ×5
144 = 2 × 2 × 2 × 2× 3 ×3
LCM = 2×3 ×3× 3× 3× 5× 2×2× 2 ×2
= 720