If H.C.F. of 306 and 657 is 9, then their L.C.M.

Answer

To find the L.C.M. of the numbers 306 and 657 given that their H.C.F. is 9, we can use the relationship between H.C.F., L.C.M., and the two numbers.

### Step-by-Step Solution:

1. **Understand the relationship**: The relationship between two numbers (A and B), their H.C.F. (denoted as H) and L.C.M. (denoted as L) is given by the formula:
\[ A \times B = H \times L \]
where A = 306, B = 657, and H = 9.

2. **Substitute the known values**: We can substitute the known values into the formula:
\[ 306 \times 657 = 9 \times L \]

3. **Calculate the product of A and B**:
- First, we calculate \(306 \times 657\):
\[ 306 \times 657 = 201042 \]

4. **Set up the equation for L**:
- Now we can set up the equation:
\[ 201042 = 9 \times L \]

5. **Solve for L**:
- To find L, we divide both sides of the equation by 9:
\[ L = \frac{201042}{9} \]

6. **Perform the division**:
- Now, we perform the division:
\[ L = 22338 \]

7. **Final answer**: Therefore, the L.C.M. of 306 and 657 is:
\[ \text{L.C.M.} = 22338 \]