Practice Hub/Grade 6/arithmetic/Least Common Multiple (LCM)

Free Grade 6 Least Common Multiple (LCM) Practice

Students will find the least common multiple of two whole numbers less than or equal to 100 using prime factorization or listing multiples.

Topic Overview

Definitive Answer: Students will find the least common multiple of two whole numbers less than or equal to 100 using prime factorization or listing multiples.

Hello, future math expert! Today, we're going to explore something called the Least Common Multiple, or LCM. First, let's understand 'multiples.' Multiples are the numbers you get when you multiply a number by other whole numbers (like skip counting!). For example, the multiples of 3 are 3, 6, 9, 12, and so on. When two numbers share some of these multiples, those are called 'common multiples.' The Least Common Multiple is the smallest (non-zero) number that is a multiple of *both* numbers. It's like finding the first time two different counting patterns meet up. This skill is super useful for solving real-world problems, such as scheduling events or making sure you have enough of certain items to group them in different ways!

Step-by-Step Examples

Example 1: Sarah is baking cookies. She wants to make batches of 5 cookies and batches of 7 cookies. What is the smallest number of cookies she can make that can be divided into equal batches of 5 and equal batches of 7?
  1. Step 1: List the multiples of 5. These are the numbers you get when you count by 5s: 5, 10, 15, 20, 25, 30, 35, 40, 45...
  2. Step 2: List the multiples of 7. These are the numbers you get when you count by 7s: 7, 14, 21, 28, 35, 42, 49...
  3. Step 3: Look for the smallest number that appears in BOTH lists. In this case, 35 is the first number that shows up in both the multiples of 5 and the multiples of 7. This is the Least Common Multiple.
✓ Answer: The smallest number of cookies Sarah can make is 35.
Example 2: What is the least common multiple (LCM) of 3 and 8?
  1. Step 1: List the multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30...
  2. Step 2: List the multiples of 8: 8, 16, 24, 32, 40...
  3. Step 3: Find the smallest number that is in both lists. The number 24 is the smallest common multiple.
✓ Answer: The Least Common Multiple (LCM) of 3 and 8 is 24.
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Tips & Tricks

  • Remember, 'L' in LCM stands for 'Least,' and you find it by 'Listing' out the multiples!

Key Vocabulary

TermDefinition
MultiplesThe numbers you get when you multiply a whole number by other whole numbers (e.g., multiples of 4 are 4, 8, 12, 16...).
Common MultiplesMultiples that two or more numbers share (e.g., 12 and 24 are common multiples of 3 and 4).
Least Common Multiple (LCM)The smallest non-zero number that is a multiple of two or more given numbers.

Interactive Practice

Question 1 of 10

Sarah is baking cookies. She wants to make batches of 5 cookies and batches of 7 cookies. What is the smallest number of cookies she can make that can be divided into equal batches of 5 and equal batches of 7?

Frequently Asked Questions

What is the Least Common Multiple (LCM) and why is it important for my 6th grader?

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The Least Common Multiple (LCM) is the smallest positive number that is a multiple of two or more given numbers. Understanding the **grade 6 least common multiple (lcm)** is crucial for solving fraction problems, comparing quantities, and tackling real-world scenarios in mathematics.

What are the best methods to teach my child how to find the Least Common Multiple?

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To teach **how to least common multiple (lcm)**, focus on two primary methods: listing multiples and using prime factorization. These strategies help students efficiently find the smallest common multiple for numbers up to 100, building a strong foundation for future math concepts.

Where can I find good practice materials for my child learning LCM?

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You can find excellent resources for **6th grade least common multiple (lcm) practice** online, in textbooks, and through educational apps. Many websites also offer a **free least common multiple (lcm) worksheet grade 6** to help reinforce understanding and build confidence.

How can my child improve their skills in Least Common Multiple for 6th grade?

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Consistent **6th grade least common multiple (lcm) practice** is key to improvement. Encourage your child to work through various problems, including word problems that require finding the LCM, to solidify their understanding of the **grade 6 least common multiple (lcm)** concept and its applications.

Skills Covered

  • List the multiples of two whole numbers less than or equal to 10 and identify the least common multiple.
  • Find the least common multiple of two whole numbers less than or equal to 30 using prime factorization.
  • Solve word problems that require finding the LCM to determine when events will occur simultaneously or to find a common quantity.

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Kurboed Education Team

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Expertly curated by the Kurboed Education Team • Last updated 2026

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