Last updated on May 26th, 2025
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.
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.
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
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
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.
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
LCM = 72, relationship verified.
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.
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.
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
The other number is 18.
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.
: She loves to read number jokes and games.