Question

Fin the LCM and HCF of the following Integers and verify that LCM*HCF = product of two numbers.
1.26 and 91
2.✓15 and ✓25

Answer 1

1.

26 = 13 × 2

91 = 7 × 13

HCF = 13

LCM = 13 × 2 × 7 = 182

LCM × HCF = a × b

182 × 13 = 26 × 91

2366 = 2366

LHS = RHS

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2.

√15 = √3 × √5

√25 = √5 × √5

HCF = √5

LCM = √5 × √5 × √3 = √75

LCM × HCF = a × b

√75 × √5 = √15 × √25

√375 = √375

LHS = RHS

HENCE PROVED

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