Question

(Verify that hcf × lcm = product of two number ) . The two number is 180 and 288

Answer 1

Using Prime Factorisation:

2 | 180

2 | 90

3 | 45

3 | 15

.• | 5

2 | 288

2 | 144

2 | 72

2 | 36

2 | 18

3 | 9

.• | 3

180 = 2 × 2 × 3 × 3 × 5 = 2² × 3² × 5

288 = 2 × 2 × 2 × 2 × 2 × 3 × 3 = 2^5× 3²

LCM(180, 288) = 2^5 × 3² × 5 = 1440

HCF (288, 180) = 2²× 3² = 36

lcm×hcf=product of two numbers

1440×36=180×288

51840=51840

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