LCM of 3 and 8 is 24. In mathematics, the LCM of any two numbers is the value that is evenly divisible by the two values. Among all common multiples of 3 and 8, the LCM of Two Numbers that is 3 and 8 is the smallest value. (3, 6, 9, 12, 15, 18,… ) and (8, 16, 24, 32, 40, 48, 56,… ) are the first few multiples of three and eight, respectively. Prime factorization, listing multiples, and division are the three most frequent methods for determining the LCM of 3 and 8.
Also read: Least common multiple
What is LCM of 3 and 8?
The answer to this question is 24. The LCM of 3 and 8 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 3 and 8, is the smallest positive integer 24 which is divisible by both 3 and 8 with no remainder.
How to Find LCM of 3 and 8?
LCM of 3 and 8 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 3 and 8 Using Prime Factorisation Method
The prime factorisation of 3 and 8, respectively, is given by:
3 = 3
4 = 2 x 2 x 2 = 23
LCM (3, 8) = 24
LCM of 3 and 8 Using Division Method
We’ll divide the numbers (3, 8) by their prime factors to get the LCM of 3 and 8 using the division method (preferably common). The LCM of 3 and 8 is calculated by multiplying these divisors.
| 2 | 3 | 8 |
| 2 | 3 | 4 |
| 2 | 3 | 2 |
| 3 | 3 | 1 |
| x | 1 | 1 |
No further division can be done.
Hence, LCM (3, 8) = 24
LCM of 3 and 8 Using Listing the Multiples
To calculate the LCM of 3 and 8 by listing out the common multiples, list the multiples as shown below.
| Multiples of 3 | Multiples of 8 |
| 3 | 8 |
| 6 | 16 |
| 9 | 24 |
| 12 | 32 |
| 15 | 40 |
| 18 | 48 |
| 21 | 56 |
| 24 | 64 |
The smallest common multiple of 3 and 8 is 24.
LCM (3, 8) = 24
Related Articles
Video Lesson on Applications of LCM
LCM of 3 and 8 Solved Example
1. Verify the relationship between GCF and LCM of 3 and 8.
The relation between GCF and LCM of 3 and 8 is given as,
LCM(3, 8) × GCF(3, 8) = Product of 3, 8
Prime factorization of 3 and 8 is given as, 3 = (3) = 31 and 8 = (2 × 2 × 2) = 23
LCM(3, 8) = 24
GCF(3, 8) = 1
LHS = LCM(3, 8) × GCF(3, 8) = 24 × 1 = 24
RHS = Product of 3, 8 = 3 × 8 = 24
⇒ LHS = RHS = 24
Hence, verified.
Frequently Asked Questions on LCM of 3 and 8
If the LCM of 8 and 3 is 24, Find its GCF.
Since the LCM of 8 and 3 = 24
24 × GCF(8, 3) = 24
Therefore, the GCF (greatest common factor) = 24/24 = 1.
What are the Methods to Find LCM of 3 and 8?
Listing Multiples
Division Method
Prime Factorization Method
Comments