The LCM and HCF of two given numbers are 960 and 8 respectively . If one of them is 64 , then the other number is

Options

A. 60
B. 120
C. 240
D. 480

Answer

To find the other number when the LCM and HCF of two numbers are given, we can use the relationship between LCM, HCF, and the two numbers. The formula is:

\[ \text{LCM} \times \text{HCF} = \text{Number 1} \times \text{Number 2} \]

Given:
- LCM = 960
- HCF = 8
- Number 1 (let's call it A) = 64
- Number 2 (let's call it B) = ?

### Step-by-Step Solution:

1. **Write down the formula:**
\[ \text{LCM} \times \text{HCF} = A \times B \]

2. **Substitute the known values into the formula:**
\[ 960 \times 8 = 64 \times B \]

3. **Calculate the left side of the equation:**
\[ 960 \times 8 = 7680 \]
So, we have:
\[ 7680 = 64 \times B \]

4. **Now, solve for B by dividing both sides by 64:**
\[ B = \frac{7680}{64} \]

5. **Perform the division:**
\[ B = 120 \]

### Conclusion:
The other number is **120**.