LCM of 2, 4, 6 and 8 is 24. LCM, known as Least/Lowest Common Multiple, is the smallest/least positive number that is divisible by the given order of numbers. Consider the example for finding the LCM of 2, 4, 6 and 8. The answer is 24. 24 is the first/smallest/least number that is commonly divisible by 2, 4, 6 and 8. One can use the Prime Factorization and Division method to find the LCM for the given set of numbers.
What is LCM of 2, 4, 6 and 8
The Least Common Multiple or Lowest Common Multiple of 2, 4, 6 and 8 is 24.
How to Find LCM of 2, 4, 6 and 8?
LCM of 2, 4, 6 and 8 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 2, 4, 6 and 8 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers 2, 4, 6 and 8 can be expressed as;
2 = 1 × 2
4 = 2 × 2
6 = 2 × 3
8 = 2 × 2 × 2
The common prime factors, and other prime factors are multiplied to get the LCM.
LCM (2, 4, 6, 8) = 2 × 2 × 2 × 3 = 24
LCM of 2, 4, 6 and 8 Using Division Method
In the Division Method, the numbers 2, 4, 6 and 8 are divided by prime divisors, till the remainders are 1. The product of the prime divisors forms the LCM. Division table given below.
|
2 |
2 |
4 |
6 |
8 |
|
2 |
1 |
2 |
3 |
4 |
|
2 |
1 |
1 |
3 |
2 |
|
3 |
1 |
1 |
3 |
1 |
|
× |
1 |
1 |
1 |
1 |
LCM (2, 4, 6, 8) = 2 × 2 × 2 × 3 = 24
LCM of 2, 4, 6 and 8 Using Listing the Multiples
By listing all the multiples of given numbers, we can check the first common multiple, which is the LCM. Below is the list of multiples for 2, 4, 6 and 8
Multiples of 2
2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28,…
Multiples of 4
4, 8, 12, 16, 20, 24, 28, 32….
Multiples of 6
6, 12, 18, 24, 30, 36….
Multiples of 8
8, 16, 24, 32, 40 …..
LCM (2, 4, 6, 8) = 24
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by 2, 4, 6 and 8?
Answer: 24 is the smallest number that is divisible by 2, 4, 6 and 8.
What is the LCM of 8 and 24?
Answer: LCM of 8 and 24 is 24.
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