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Last updated on November 29th, 2024

LCM of 24 and 40

Q: List the factors of 24 and 40.

Numbers that are multiplied to reach 24 and 40 are called the factors of 24 and 40. Factors of 24 are 1,2,3,4,6,8,12,24 Factors of 40 are 1,2,4,5,8,10,20,40

Q: What is the LCM of 40 and 40?

The LCM of the numbers is 40 itself. It is the smallest number that is divisible by itself.

Q: What is the LCM of 24 and 36?

72 is the smallest number that appears commonly on the lists of the numbers 24 and 36. LCM (24,36)= 72

Q: What is the LCM of 24 and 30?

120 is the smallest number that appears commonly on the lists of the numbers 24 and 30. LCM (24,30)= 120

Q: Is 12 a factor of 20?

No, 12 is not a factor of 20. When we divide 20 by 12, a remainder is left behind which makes it not a factor. 20/12 = 1.667

Professor Greenline Explaining Math Concepts

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Advance Topics

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.

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.

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

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

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

Common Mistakes and how to avoid them while finding the LCM of 24 and 40

LCM of 24 and 40, Examples

Ray, the Character from BrightChamps Explaining Math Concepts

Problem 1

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

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Explanation

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?

Explanation

Problem 3

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

Explanation

FAQ’s on LCM of 24 and 40

1.List the factors of 24 and 40.

2.What is the LCM of 40 and 40?

3.What is the LCM of 24 and 36?

4. What is the LCM of 24 and 30?

5. Is 12 a factor of 20?

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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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.