204 LearnersLast updated on May 26th, 2025
LCM of 24 and 40
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
Listed here are a few mistakes that one can commit when trying to find the LCM of the numbers 3 and 8. Try to avoid them.
Mistake 1
Listing incorrect multiples
If the LCM of given numbers is 120, double-check that the number appears on the list of both 24 and 40.
LCM of 24 and 40, Examples
Problem 1
Verify the LCM-GCF relationship using the formula LCM(a,b)=a×b/GCF(a,b) for 18 and 24.
GCF of 18 and 24 is 6.
Use the formula: LCM(18,24)=18×24/6=432/6=72
Explanation
LCM = 72, relationship verified.
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?
The LCM of 24 and 40 is 120.
Explanation
The smallest length that can be divided by both 24 and 40 can be divided by is 120. The shortest length of the fence is 120 meters. The LCM expresses the smallest common interval between the digits.
Problem 3
The LCM of two numbers is 72. One of the numbers is 24. What is the other number?
LCM = Product of the two numbers/GCF of the two numbers
The GCD of 24 and the unknown number is 6 (since LCM is 72).
Let the unknown number be x: 72=24×x/6
Solve: 72×6=24×x⇒x=432/24=18
Explanation
The other number is 18.
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?
6.How can children in Singapore use numbers in everyday life to understand LCM of 24 and 40?
7.What are some fun ways kids in Singapore can practice LCM of 24 and 40 with numbers?
8.What role do numbers and LCM of 24 and 40 play in helping children in Singapore develop problem-solving skills?
9.How can families in Singapore create number-rich environments to improve LCM of 24 and 40 skills?
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.
Fun Fact
: She loves to read number jokes and games.
