Question

The LCM of two numbers is 432 and their HCF is 36. If one of the
numbers is 108, then find the other number.

Answer 1

The other no. is 144.

Step-by-step explanation:

Let the other no. be x

L.C.M.×H.C.F.=Product of two no.'s

432×36=108×x

x=(432×36)/108

x=432/3

x=144

Therefore, the other no. is 144.

Answer 2

Answer:

• The Other number is 144.

Step-by-step explanation:

Given,

• The LCM of two numbers is 432.
• Their HCF is 36.
• If one of the number is 108.

To Find,

• The Other number.

Solution,

Let's,

• The other number = x

LCM (108, x) = 432 •••[Given]

HCF (108, x) = 36 •••[Given]

LCM × HCF = Product of Numbers

• ➤ 108 × (x) = LCM (108, x) × HCF (108, x)
• ➤ 108x = 432 × 36
• ➤ x = (432 × 36)/108
• ➤ x = 432/3
• ➤ x = 144

The value of x is 144.

The other number = x

• The Other number = 144

Required Answer,

• The Other number is 144.