The HCF of two number 12906 and 14818 is 478. Their LCM is :

Options

A. 400086
B. 200043
C. 600129
D. 800172

Answer

To find the LCM of the two numbers 12906 and 14818 given their HCF (or GCD) is 478, we can use the relationship between HCF, LCM, and the two numbers. The formula is:

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

### Step-by-Step Solution:

1. **Identify the given values**:
- Number 1 (N1) = 12906
- Number 2 (N2) = 14818
- HCF = 478

2. **Use the relationship between HCF, LCM, and the numbers**:
\[ \text{HCF} \times \text{LCM} = N1 \times N2 \]

3. **Substitute the known values into the equation**:
\[ 478 \times \text{LCM} = 12906 \times 14818 \]

4. **Calculate the product of the two numbers (N1 and N2)**:
\[ 12906 \times 14818 = 191084028 \]

5. **Rearrange the equation to solve for LCM**:
\[ \text{LCM} = \frac{12906 \times 14818}{478} \]

6. **Perform the division**:
- First, calculate \( 12906 \div 478 \):
\[ 12906 \div 478 = 27 \]
- Now substitute back into the LCM formula:
\[ \text{LCM} = 27 \times 14818 \]

7. **Calculate the final value of LCM**:
\[ 27 \times 14818 = 400806 \]

### Final Answer:
The LCM of 12906 and 14818 is **400806**.