157 LearnersLast updated on May 26th, 2025
LCM of 3 and 8
LCM is a common multiple, the smallest value between the numbers 3 and 8. 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 3 and 8?
The LCM of 3 and 8 is 24. 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 3 and 8 Using Listing the Multiples
Write down the multiples of the numbers. Don’t stop too early.
Multiples of 3 = 3,6,9,12,18,21,24…
Multiples of 8 = 8, 16,24,…
Find the smallest number common between the written multiples of 3 and 8
The smallest common multiple is 24.
Thus, LCM(3, 8) = 24.
LCM of 3 and 8 Using Prime Factorization
factorize the numbers into its prime factors
3 = 3×1
8 = 2×2×2
find the highest powers of the factors of 3 and 8
Multiply the highest powers
LCM(3,8) = 24
LCM of 3 and 8 Using Division Method
Write the numbers 3,8 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(3, 8) = 24.
Common Mistakes and how to avoid them while finding the LCM of 3 and 8
Listed here are a few mistakes that
Mistake 1
Listing incorrect multiples
If the LCM of given numbers is 24, double-check that the number appears on the list of both 3 and 8
LCM of 3 and 8, examples
Problem 1
Use LCM(a,b) = a×b/HCF(a,b) to find the LCM of 3 and 8.
The HCF of 3 and 8 is 1, they share no common factors.
Applying the formula;
LCM(a,b) = a×b/HCF(a,b)
LCM(3,8) = 3×8/1
LCM = 24
Explanation
Using the above formula and the method, we find the LCM of any two numbers
Problem 2
Goods are received by a shipping company every 3 and 8 months. If the shipments have been received today, when will they next arrive at the same day?
The LCM of 3 and 8 is 24.
Explanation
The goods will be received next in 24 months at the same time. The LCM of 3 and 8 is 24, which is the smallest common time interval for the given digits.
Problem 3
LCM of (3,x) is 6. Find x.
The LCM of x and 3 is 6, which means that the possible value of x is a divisor of 6. The divisors of 6 are 1,2,3,6.
Now we check for each of the factors;
LCM (3,1) = 3
LCM (3,2) =6
LCM (3,3) = 3
LCM (3,6) = 6
Explanation
The value of x can be either 2 or 6 as the LCM of 6 can be obtained using both.
FAQs on LCM of 3 and 8
1.Is 32 a common multiple of 3 and 8 ?
2. What is the HCF of 3 and 8?
3. What is divisible by both 3 and 8 ?
4.What is a multiple of 3 and 8?
5.What is the LCM of 3,8 and 24 ?
6.How can children in India use numbers in everyday life to understand LCM of 3 and 8?
7.What are some fun ways kids in India can practice LCM of 3 and 8 with numbers?
8.What role do numbers and LCM of 3 and 8 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve LCM of 3 and 8 skills?
Important glossaries for the LCM of 3 and 8
- 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
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