https://file.aiquickdraw.com/mathbot/file/1728058989276xpwoi21r.jpg

From the image, the problem I can see is as follows:

**Question:**
"If the product of two numbers is 4032 and their HCF is 12, find their LCM."

### Solution:
We know the relationship between the product of two numbers, their HCF (Highest Common Factor), and LCM (Least Common Multiple):

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

Let the two numbers be \(a\) and \(b\).
The product of these numbers is given as 4032, and the HCF is 12. We need to find the LCM.

Using the formula:
\[
4032 = 12 \times \text{LCM}
\]

Now, solving for LCM:
\[
\text{LCM} = \frac{4032}{12} = 336
\]

So, the LCM of the two numbers is **336**.

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Let me know if you need further details or have any questions!

Here are some related questions:
1. What is the relationship between LCM and HCF of two numbers?
2. Can two numbers have the same HCF and LCM? Why or why not?
3. What is the formula for finding LCM using prime factorization?
4. How would the solution change if the HCF was a different number?
5. Can the LCM of two numbers be smaller than either of the numbers? Why?

**Tip:** When the product of two numbers and their HCF is known, you can always use their relationship to quickly calculate the LCM!

If the product of two numbers is 4032 and their HCF is 12, find their LCM.

Learn how to find the LCM when the product of two numbers is 4032 and their HCF is 12. This step-by-step solution explores the relationship between HCF and LCM using fundamental mathematical concepts. Suitable for students in Grades 6-8.

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