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The LCM of the two numbers is 1440 and their HCF is 32. If the first number is 288, then find the second number.
Question

The LCM of the two numbers is 1440 and their HCF is 32. If the first number is 288, then find the second number.

A.

150

B.

145

C.

180

D.

160

Correct option is D

Given:

LCM of numbers =1440

HCF of numbers =32

Concept Used:

Multiple of LCM and HCF of two numbers is equal to multiple of two numbers.

Solution:

LCM × HCF = 1st number × 2nd Number

2nd Number = 1440×32288=160\frac{1440×32}{288}= 160​​

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