Question

Find the HCF and LCM of 144, 180 and 192.​

Answer 1

Answer:

12 Answer

Step-by-step explanation:

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.

Answer 2

Step-by-step explanation:

LCM of 144, 180, and 192 can be obtained by multiplying prime factors raised to their respective highest power, i.e. 26 × 32 × 51 = 2880. Hence, the LCM of 144, 180, and 192 by prime factorization is 2880

HCF of 144, 180 and 192 is 12.