Question

Find the HCF and the LCM of the numbers 154, 198 and 286

Answer 1

Prime factorisation of 154 = 2 × 7 × 11

Prime Factorisation of 198 = 2 × 3 × 3 × 11

Prime Factorisation of 286 = 2 × 11 × 13

2	154
7	77
	11

To find HCF

Product of common factors of 154, 198 and 286

= 2 × 11

= 22

HCF (154, 198, 286) = 22

2	198
3	99
3	33
	11

2	286
11	143
	13

To find LCM

Product of common factors of atleast two numbers = 2 × 11 = 22

Product of other factors = 7 × 3 × 3 × 13 = 819

LCM (154, 198, 286) = Product of common factors × Product of other factors

= 22 × 819

= 18,018

LCM (154, 198, 286) = 18,018

   819
    22   
   1638 
 1638  
18,018