Question

6. Find LCM and HCF of the following pairs of numbers using prime
factorisation method.
(1) 321, 396, (ii) 455, 42 (iii) 408, 170​

Answer 1

The LCM and HCF of the following pairs of numbers using prime factorisation method is :

1. 321 and 396

321 = 3 × 107

396 = 2 × 2 × 3 × 3 × 11

LCM = 2 × 2 × 3 × 3 × 11 × 107 = 42372

HCF = 3

2. 455 and 42

455 = 5 × 7 × 13

42 = 2 × 3 × 7

LCM = 2 × 3 × 5 × 7 × 13 = 2730

HCF = 7

3. 408 and 170

408 = 2 × 2 × 2 × 3 × 17

170 = 2 × 5 × 17

LCM = 2 × 2 × 2 × 3 × 5 × 17 = 2040

HCF = 17 × 2 = 34

Answer 2

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