Question

The HCF of two numbers 65 and 104 is 13. If LCM of 65 and 104 is 40x, then the value of x is ______.

Options

• 5

• 13

• 40

• 8

Answer 1

The HCF of two numbers 65 and 104 is 13. If LCM of 65 and 104 is 40x, then the value of x is 13.

Explanation:

The relationship between the highest common factor (HCF) and the least common multiple (LCM) of two numbers a and b is expressed by the formula:

`HCF(a, b) xx LCM(a, b) = a xx b`

`13 xx 40x = 65 xx104`

`40x = (65xx104)/13`

`40x = 520`

`x = 13`