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414 LearnersLast updated on August 5, 2025
LCM of 3,4 and 8
LCM 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.
LCM of 3,4 and 8 using prime factorization method
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
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Common mistakes and how to avoid them in LCM of 3,4 and 8
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!
Mistake 1
Duplicating or skipping a factor
A factor may be missed when we prime factorize a number. Writing the prime factorization of 4 may be written as 3×2 instead of 2×2 accidentally.
Mistake 2
Skipping the multiplication of common factors
We may make mistakes to identify the prime factors that appear commonly in the list of the numbers, just assuming the LCM by multiplying the unique common factors.
Mistake 3
Assuming the product of the numbers is the LCM
The product of co-prime numbers is equal to their LCM. 3,4 and 8 are not co-prime and this does not apply.
LCM of 3,4 and 8 Examples
Problem 1
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.
Explanation
Thus, they will exercise together again in 24 days.
Problem 2
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.
Explanation
The smallest number divisible by 3, 4, and 8 is 24.
Problem 3
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
Explanation
the LCM of 4 and 8 is 8.
FAQs on the LCM of 3,4 and 8
1. What is the LCM of 3,4,6 and 8?
2.What is the LCM of 4,6 and 8?
3.Is the LCM of 4 and 8, 4?
4.What is the LCM of 9 and 12?
5.What is the LCM of 9 and 15?
Important glossaries for LCM of 3,4 and 8
- Multiple: the result after multiplication of a number and an integer. To explain, 5×5 =25; 25 is a multiple of 5.
- Prime Factor: A number with only two factors, 1 and the number. For example,3, its factors are only 1 and 3 and the number when divided by any other integer will leave a remainder behind.
- Prime Factorization: breaking a number down into its prime factors. For example, 60 is written as the product of 2×2×3×5.
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.
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