Question

What is the LCM of 144 270 72 by pfm

Answer 1

Answer:

144 = 2 × 2 × 2 × 2 × 3 × 3

270 = 2 × 3 × 3 ×3 × 5

72 = 2 × 2 × 2 × 3 × 3

=> LCM of 144, 270 and 72 = 2×2×2×2×3×3×3×5

=> LCM of 144, 270 and 72 =2160

Answer 2

LCM by prime factorisation method is 2160.

Given:

144 270 72

To find:

What is the LCM of 144 270 72 by pfm

Solution:

To find LCM first we have to find prime factors of these numbers and then we have to multiply the highest powers of prime numbers

144 = 2*2*2*2*3*3

270 = 2*3*3*3*5

72 = 2*2*2*3*3

The highest power of 2 is 4, 3 is 3 and 5 is 1

So, LCM = 2*2*2*2*3*3*3*5

= 2160.

LCM = 2160

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