The product of two numbers is 16900 and their HCF is 5. The LCM of the number is

Options

A. 8000
B. 1600
C. 320
D. 1605

Explanation

To find the LCM of two numbers given their product and HCF, we can use the relationship:

\[ \text{Product of two numbers} = \text{HCF} \times \text{LCM} \]

Given:
- Product of two numbers = 16900
- HCF = 5

We need to find the LCM.

### Step-by-step Solution:

1. **Write down the formula**:
\[ \text{Product of two numbers} = \text{HCF} \times \text{LCM} \]

2. **Substitute the known values into the formula**:
\[ 16900 = 5 \times \text{LCM} \]

3. **Isolate LCM**:
To find LCM, divide both sides of the equation by HCF (which is 5):
\[ \text{LCM} = \frac{16900}{5} \]

4. **Perform the division**:
\[ \text{LCM} = 3380 \]

Thus, the LCM of the two numbers is **3380**.