Question

find the HCF and LCM of 288, 360 and 384 by prime factorization method

Answer 1

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Answer 2

Answer:

HCF is 24 and LCM is 5760.

Step-by-step explanation:

Given numbers are 288 , 360 and 384

To find: HCF & LCM by Prime factorization Method

First we do prime factorization of each number

288 = 2 × 2 × 2 × 2 × 2 × 3 × 3

360 = 2 × 2 × 2 × 3 × 3 × 5

384 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3

HCF of 288 , 360 & 384 = 2 × 2 × 2 × 3 = 24

LCM of 288 , 360 & 384 = 2 × 2 × 2 × 3 × 2 × 2 × 3 × 2 × 2 × 5 = 5760

Therefore, HCF is 24 and LCM is 5760.