The HCF of two number is 15 and their product is 1650 . Find their LCM.

Answer

To find the LCM of two numbers given their HCF and product, we can use the relationship between HCF, LCM, and the product of the numbers. Here’s how to solve the problem step by step:

### Step 1: Understand the relationship
We know that:
\[ \text{HCF} \times \text{LCM} = \text{Product of the two numbers} \]
In this case, we have:
- HCF = 15
- Product = 1650

### Step 2: Set up the equation
Using the relationship, we can set up the equation:
\[ 15 \times \text{LCM} = 1650 \]

### Step 3: Solve for LCM
To find the LCM, we need to isolate it on one side of the equation. We can do this by dividing both sides by 15:
\[ \text{LCM} = \frac{1650}{15} \]

### Step 4: Perform the division
Now, we will perform the division:
\[ \text{LCM} = 110 \]

### Conclusion
Thus, the LCM of the two numbers is **110**.

---