HCF of two numbers 36 and 90 is 18. Find the LCM

To find the Least Common Multiple (LCM) of two numbers when their Highest Common Factor (HCF) is known, you can use the relationship between LCM and HCF, given by the formula:

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

Given:
- HCF = 18
- The two numbers are 36 and 90.

First, calculate the product of the two numbers:
\[
36 \times 90 = 3240
\]

Now, apply the formula:
\[
\text{LCM} = \frac{\text{Product of the two numbers}}{\text{HCF}} = \frac{3240}{18} = 180
\]

So, the LCM of 36 and 90 is **180**.

Would you like more details or have any other questions?

Here are 5 related questions for practice:
1. What is the LCM of 12 and 18 if their HCF is 6?
2. Find the LCM of 45 and 75 using their prime factorizations.
3. If the HCF of two numbers is 5 and their product is 300, what is their LCM?
4. How do you find the HCF and LCM of three numbers, say 8, 12, and 16?
5. If the LCM of two numbers is 60 and their HCF is 3, what could be the two numbers?

**Tip:** The product of the LCM and HCF of two numbers is always equal to the product of those numbers.

HCF of two numbers 36 and 90 is 18. Find the LCM.

Learn how to calculate the Least Common Multiple (LCM) of 36 and 90 when their Highest Common Factor (HCF) is 18. This solution uses the relationship between LCM and HCF to find the LCM with step-by-step guidance. Ideal for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation