Let's correct the calculation based on the correct product of the numbers, which is **2925**.

### Problem Restatement:

"The product of two numbers is 2925 and their HCF is 15. Find the LCM of these numbers."

### Solution:

Given:
- Product of the numbers = 2925
- HCF = 15

We use the relationship:

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

Substituting the given values:

\[
2925 = 15 \times \text{LCM}
\]

To find the LCM:

\[
\text{LCM} = \frac{2925}{15} = 195
\]

So, the LCM of the two numbers is **195**.

Would you like more details on this solution or have any questions?

### Related Questions:
1. How do you find the two numbers given their product and HCF?
2. Why is the relationship between product, HCF, and LCM important in number theory?
3. Can you explain how the LCM can be used in solving problems involving fractions?
4. What is the significance of LCM in real-world applications?
5. How would you calculate the LCM if you are given more than two numbers?

**Tip:** Always double-check your values to avoid simple calculation errors, especially when dealing with problems that involve multiple steps.

Learn how to calculate the LCM of two numbers when given their product and HCF. Follow a step-by-step explanation with an example where the product of the numbers is 2925 and their HCF is 15. Suitable for high school students and those preparing for competitive exams.

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