What is the Least Common Multiple?
The Least Common Multiple (LCM) is the smallest number that is a multiple of two or more numbers.
Imagine you and your friend are counting by different numbers. The LCM is the first number where you both say the same number at the same time! It's super useful for solving problems where things happen at different rates, like when two buses arrive at a stop together.
How to Find the LCM
1️⃣ List the multiples of each number
2️⃣ Find the smallest number that appears in all lists
3️⃣ That's your LCM! 🎉
Let's Practice Together!
Example 1: Find the LCM of 4 and 6
Multiples of 4: 4, 8, 12, 16, 20, 24...
Multiples of 6: 6, 12, 18, 24, 30...
The smallest number in both lists is 12!
So, LCM of 4 and 6 = 12
Example 2: Find the LCM of 5 and 7
Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40...
Multiples of 7: 7, 14, 21, 28, 35, 42...
The smallest number in both lists is 35!
So, LCM of 5 and 7 = 35
Parent Tips 🌟
- Real-world connections: Show how LCM is used in real life, like calculating when two events will happen at the same time (e.g., when two different buses arrive together at a stop).
- Multiplication practice: Finding multiples is great multiplication practice - have your child write out the multiples before looking for matches.
- Game approach: Make it a game - take turns picking two numbers and race to find the LCM!