LCM of 3 and 4 is 12. In mathematics, the LCM of any two numbers is the value that is evenly divisible by the two values. The smallest number among all common multiples of 3 and 4 is the LCM of 3 and 4. (3, 6, 9, 12, 15, 18, 21, etc.) and (4, 8, 12, 16, 20, etc.) are the first few multiples of 3 and 4. To find the LCM of 3 and 4, there are three typical methods: listing multiples, division method, and prime factorization.
Also read: Least common multiple
What is LCM of 3 and 4?
The answer to this question is 12. The LCM of 3 and 4 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 3 and 4, is the smallest positive integer 12 which is divisible by both 3 and 4 with no remainder.
How to Find LCM of 3 and 4?
LCM of 3 and 4 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 3 and 4 Using Prime Factorisation Method
The prime factorisation of 3 and 4, respectively, is given by:
3 = 31
4 = 2 x 2 = 2²
LCM (3, 4) = 12
LCM of 3 and 4 Using Division Method
We’ll divide the numbers (3, 4) by their prime factors to get the LCM of 3 and 4 using the division method (preferably common). The LCM of 3 and 4 is calculated by multiplying these divisors.
| 2 | 3 | 4 |
| 2 | 3 | 2 |
| 3 | 3 | 1 |
| 1 | 1 |
No further division can be done.Â
Hence, LCM (3, 4) = 12
LCM of 3 and 4 Using Listing the Multiples
To calculate the LCM of 3 and 4 by listing out the common multiples, list the multiples as shown below
| Multiples of 3 | Multiples of 4 |
| 3 | 4 |
| 6 | 8 |
| 9 | 12 |
| 12 | 16 |
| 15 | 20 |
The smallest common multiple of 3 and 4 is 12.
LCM (3, 4) = 12
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Video Lesson on Applications of LCM
LCM of 3 and 4 Solved ExampleÂ
The product of two numbers is 12. If their GCD is 1, what is their LCM?
Solution:
Given: GCD = 1
product of numbers = 12
LCM × GCD = product of numbers
Which implies LCM = Product/GCD = 12/1
Therefore, the LCM is 12.
The probable combination for the given case is LCM(3, 4) = 12.
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