Question

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

Answer 1

Answer:

We have to find the HCF and LCM of 144, 180, 192

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

LCM (144,180,192) = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5→ 2880

So, HCF(144,180,192) = 2 × 2 × 3 = 12.

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Answer 2

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.