Question

The hcf of two number is 20, if the number are in the ratio of 2:5 then lcm is

Answer 1

Given

HCF = 20

ratio = 2x, 5x

required

lcm

formula.

product of two numbers = lcm x hcf

numbers have 20 as common factor

2*20= 40
5*20= 100

substitute in formula

40*100 = lcm *20

lcm = 40*100 / 20

so lcm = 200

hope this helps you.
Thank you

Answer 2

Let ' x ' be the HCF of that two numbers and, the numbers be 2x and 5x

so,

HCF = 20

so, x = 20

then,

NUMBERS ARE 40,100

LCM = 40(100)/20 = 200