Question

find the hcf of 56 and154.then find their lcm with the help of their hcf

Answer 1

a = 56

b = 154

56 = 2 × 2 × 2 × 7

154 = 2 × 7 × 11

HCF = 2 × 7 = 14

Now,

LCM × HCF = a × b

=> LCM × 14 = 56 × 154

=> LCM = 4 × 154

=> LCM = 616

Answer 2

56 = 2 × 2 × 2 × 7

154 = 2 × 7 × 11


hcf of 56 and 154 = 2 × 7 = 14



one number × other number = lcm × hcf

56 × 154 = lcm × 14


lcm = 616