Given the HCF (54,336) = 6. Find LCM (54,336)

Answer

To find the LCM of the numbers 54 and 336 given that their HCF is 6, we can use the relationship between HCF and LCM. The formula we will use is:

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

### Step-by-Step Solution:

1. **Write down the given values:**
- HCF (54, 336) = 6
- Numbers = 54 and 336

2. **Use the formula:**
\[ 54 \times 336 = \text{LCM} \times 6 \]

3. **Calculate the product of the two numbers:**
\[ 54 \times 336 = 18144 \]

4. **Substitute the product into the equation:**
\[ 18144 = \text{LCM} \times 6 \]

5. **Solve for LCM:**
\[ \text{LCM} = \frac{18144}{6} \]

6. **Perform the division:**
\[ \text{LCM} = 3024 \]

### Final Answer:
The LCM of 54 and 336 is **3024**.

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