Question

the Lcm of two number is 6 tims their hcf . the sum of hcf and lcm is 378 if one number is 108 find the other?

Answer 1

given , lcm = 6 × hcf

also lcm + hcf = 378

6 hcf + hcf = 378

7 hcf = 378

hcf = 378/7 = 54

so lcm = 54 × 6 = 324


by using formula ,

first number × second number = their lcm × their hcf

108 × second number = 324 × 54

second number = 324 × 54 / 108

second number = 156