What is the Least Common Multiple?
The Least Common Multiple (LCM) is the smallest number that is a multiple of two or more numbers.
It's super useful when you're adding fractions with different denominators or solving problems where things repeat in cycles. Think of it like finding when two different alarm clocks will next ring at the same time!
How to Find the LCM
1️⃣ List the multiples of each number
2️⃣ Find common multiples that appear in all lists
3️⃣ Choose the smallest common multiple
Let's Practice Together!
Example 1: Find the LCM of 4 and 6
Multiples of 4:
Multiples of 6:
Common multiples:
The smallest common multiple is 12, so LCM(4,6) = 12
Example 2: Find the LCM of 5 and 8
Multiples of 5:
Multiples of 8:
Common multiples:
The smallest common multiple is 40, so LCM(5,8) = 40
Parent Tips 🌟
- Real-world connections: Show how LCM is used in real life - like when planning when two buses with different schedules will arrive at the same time.
- Factor trees first: If your child knows prime factorization, teach them the "prime factors method" for finding LCM after they understand the multiples method.
- Game time: Play "LCM Bingo" where you call out two numbers and kids mark the LCM on their bingo cards.