LCM and HCF of two numbers is 64699 and 97 respectively and one of the numbers is 2231. Find the second number.

Correct option is A

Given:

LCM = 64699
HCF = 97
One number = 2231

Formula Used:

The relationship between two numbers, their LCM, and HCF is:
​$$\text{Product of two numbers} = \text{LCM} \times \text{HCF}$$​

If one number is known, the other number can be calculated as:
​$$\text{Second number} = \frac{\text{LCM} \times \text{HCF}}{\text{First number}}$$​

Solution:

1. Substitute the given values into the formula:
Second number = $$\frac{64699 \times 97}{2231}$$​

2. Calculate:
​$$64699 \times 97 = 6279853$$​
​$$\text{Second number} = \frac{6279853}{2231} = 2813$$​

Final Answer:

The second number is **2813**.