Question

If the HCF of two numbers is 15 and their product is 1800, find the LCM.

Hint:

Always remember: Product of two numbers = HCF × LCM.

Answer 1

Step 1: Use the fundamental relation.
For any two numbers:
\[ \text{HCF} \times \text{LCM} = \text{Product of the numbers} \]
Step 2: Substitute given values.
\[ 15 \times \text{LCM} = 1800 \]
Step 3: Solve for LCM.
\[ \text{LCM} = \frac{1800}{15} = 120 \]
Step 4: Conclusion.
The LCM of the two numbers is 120.