Question

The LCM of two numbers is 840 and their HCF is 4. If one number is 28, find the other

Answer 1

Answer :

• Other number is 120

Given :

• The LCM of two numbers is 840 and HCF is 4
• If one number is 28

To find :

• Other number

Solution :

• Let the other number be x

Given , one number is 28

And also Given that, The LCM of two numbers is 840 and their HCF is 4 so

According to question :

• LCM = 840
• HCF = 4

》LCM × HCF = 28 × x

》840 × 4 = 28 × x

》3360 = 28 × x

》28 × x = 3360

》x = 3360/28

》x = 120

Hence , Other number is 120

Verification :

》LCM × HCF = 28 × x

》840 × 4 = 28 × 120

》3360 = 3360

Hence, Verified