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Last updated on May 26th, 2025

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LCM of 24 and 40

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LCM is a common multiple, the smallest value between the numbers 24 and 40. Did you know? We apply LCM unknowingly in everyday situations like setting alarms and to synchronize traffic lights and when making music.

LCM of 24 and 40 for US Students
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What is the LCM of 24 and 40?

The LCM of 24 and 40 is 120. We can find the LCM using the Listing multiples method, the prime factorization method and the long division method. These are explained below. 
 

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LCM of 24 and 40 Using Listing the Multiples

Step1: Write down the multiples of the numbers. Don’t stop too early.


  — Multiples of 24= 24,48,72,96,120,…


 — Multiples of 40 = 40,80,120,160,200


Step 2:  Find the smallest number common between the written multiples of 24 and 40


— The smallest common multiple is 120.


Thus, LCM (24,40) = 120
 

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LCM of 24 and 40 Using Prime Factorization


Step1:  factorize the numbers into its prime factors 


24 = 2×2×2×3


40 = 2×2×2×5


Step2: find the highest powers of the factors of 24 and 40


Step3: Multiply the highest powers 


LCM(24,40) = 120

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LCM of 24 and 40 Using Division Method

  • Write the numbers 42,40 in a row 

 

  • Divide them by their common prime factors, if there is one

 

  • Carry forward the numbers that are left undivided by the previously chosen factor

 

  • Continue dividing until the remainder is ‘1’ 

 

  • Multiply the divisors to find the LCM

 

  • LCM (24,40) = 120
     
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Common Mistakes and how to avoid them while finding the LCM of 24 and 40

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LCM of 24 and 40, Examples

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Problem 1

Verify the LCM-GCF relationship using the formula LCM(a,b)=a×b/GCF(a,b) for 18 and 24.

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Explanation

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Problem 2

A running track is 24 meters long and 40 meters wide. What is the shortest length of a fence needed to enclose the track?

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Explanation

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Problem 3

The LCM of two numbers is 72. One of the numbers is 24. What is the other number?

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Explanation

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FAQ’s on LCM of 24 and 40

1.List the factors of 24 and 40.

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2.What is the LCM of 40 and 40?

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3.What is the LCM of 24 and 36?

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4. What is the LCM of 24 and 30?

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5. Is 12 a factor of 20?

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6.How can children in United States use numbers in everyday life to understand LCM of 24 and 40?

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7.What are some fun ways kids in United States can practice LCM of 24 and 40 with numbers?

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8.What role do numbers and LCM of 24 and 40 play in helping children in United States develop problem-solving skills?

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9.How can families in United States create number-rich environments to improve LCM of 24 and 40 skills?

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Important glossaries for the LCM of 24 and 40

  • Multiple — product of a number and a natural integer 

 

  • Prime factor — number one gets after prime factorization any given number 

 

  • Prime factorization — the process of breaking the number into its prime factors. 
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About BrightChamps in United States

At BrightChamps, we believe numbers are more than just figures—they unlock a world full of possibilities! Our goal is to help children throughout the United States master key math skills, focusing today on the LCM of 24 and 40 with special attention to understanding the LCM—in a way that’s engaging, fun, and easy to grasp. Whether your child is calculating the speed of a roller coaster at Disney World, keeping score during a Little League baseball game, or managing their allowance to save for cool gadgets, knowing numbers builds confidence for everyday life. Our hands-on lessons make learning enjoyable and straightforward. Since kids in the USA have unique learning styles, we customize our methods to match each child’s needs. From the lively streets of New York City to the sunny beaches of California, BrightChamps brings math alive, making it meaningful and exciting all across America. Let’s make the LCM an exciting part of every child’s math adventure!
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Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.

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Fun Fact

: She loves to read number jokes and games.

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