Question

The HCF of two numbers is 16 and their LCM is 1232. If one of the number is 112, then what is the second number?
1. 192
2. 176
3. 240
4. 80

Answer 1

Correct Answer - Option 2 : 176

Given:

HCF = 16

LCM = 1232

1^st number = 112

2^nd number = ?

Formula used:

Product of LCM and HCF of two numbers is equal to the product of the numbers

LCM × HCF = a × b (a, b are the two numbers)

Calculation:

Let the second number be X

1232 × 16 = 112 × X

∴ X = (1232 × 16) / 112 = 19712/112 = 176

Therefore, second number = 176