The LCM of the two numbers is 4104 and the HCF is 9. If one of the numbers is 171, find the other.

Correct option is D

Given:

LCM of the two numbers = 4104

HCF of the two numbers = 9

One of the numbers = 171

Formula Used:

The relation between LCM, HCF, and the product of two numbers is given by:

​$$\text{LCM} \times \text{HCF} = \text{Product of the two numbers}$$​​

Solution:

​$$\text{LCM} \times \text{HCF} = 4104 \times 9 = \text{Product of the two numbers}$$​​

The product of the two numbers = $$4104 \times 9 = 36,936$$​​

Let the second number be x. Then, the product of the two numbers is $$171 \times x$$​.

Therefore, $$171 \times x = 36,936$$​​

Solve for x:

​$$x = \frac{36,936}{171}$$​​

x = 216

Therefore, the other number is 216.