Question

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

Answer 1

Given :  HCF of two number is 20

Numbers are in the ratio  2: 5

To Find : LCM  

Solution:

Numbers are in the ratio  2: 5

Let say Numbers are 2A and 5A

as 2 & 5 has no common factors

Hence HCF is A

HCF = 20

=> A = 20

Hence numbers are 2*20 and   5 * 20

= 40 and 100

LCM * HCF = number 1 * number 2

=> LCM * 20  = 40 * 100

=> LCM = 200

LCM is 200

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Answer 2

Given : HCF of two number is 20

Numbers are in the ratio 2: 5

To Find : LCM

Solution:

Numbers are in the ratio 2: 5

Let say Numbers are 2A and 5A

as 2 & 5 has no common factors

Hence HCF is A

HCF = 20

=> A = 20

Hence numbers are 2*20 and 5 * 20

= 40 and 100

LCM * HCF = number 1 * number 2

=> LCM * 20 = 40 * 100

=> LCM = 200

LCM is 200