Last updated on May 26th, 2025
The smallest positive integer that divides the numbers with no numbers left behind is the LCM of 3,4 and 8. Did you know? We apply LCM unknowingly in everyday situations like setting alarms and to synchronize traffic lights and when making music. In this article, let’s now learn to find LCMs of 3,4 and 8.
We can find the LCM using listing multiples method, prime factorization method and the long division method. These methods are explained here, apply a method that fits your understanding well.
Step 1: List the multiples of each of the numbers;
3 =3,6,9,12,15,18,21,24,…
4= 4,8,12,16,20,24,…
8 = 8,16,24,…
Step 2: Find the smallest number in both the lists
LCM (3,4,8) = 24
Step 1: Prime factorize the numbers
3 = 3
4 = 2×2
8 = 2×2×2
Step 2: find highest powers
Step 3: Multiply the highest powers of the numbers
LCM(3,4,8) = 24
Listed here are a few mistakes children may make when trying to find the LCM due to confusion or due to unclear understanding. Be mindful, understand, learn and avoid!
Three people exercise at intervals of 3, 4, and 8 days, respectively. They all exercised together today. After how many days will they exercise together again?
To find when they will all exercise together again, we need to find the LCM of 3, 4, and 8. From earlier, we know the LCM is 24.
Thus, they will exercise together again in 24 days.
What is the smallest number divisible by both 3, 4, and 8?
The smallest number divisible by 3, 4, and 8 is their LCM. From previous calculations, we know that the LCM is 24.
The smallest number divisible by 3, 4, and 8 is 24.
Use the formula LCM(a, b)×GCD(a, b)=a×b to find the LCM of 4 and 8.
GCD(4,8)=4 (since 4 is the greatest common divisor of 4 and 8).
Using the formula LCM(4,8)×4 =4×8
we solve for LCM:
LCM(4,8)=4×8/4=8
the LCM of 4 and 8 is 8.
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.