LCM of 2, 6 and 8 is 24. The least common multiple of any two or more natural numbers is the number that is the lowest of their common multiples. To help students learn the LCM concept effectively, subject experts designed the article LCM of Two Numbers in a systematic manner. The main purpose of this article is to boost confidence among students to face the exam without fear. Here, we will discuss how to find the least common multiple of 2, 6 and 8 with a complete explanation.
What is LCM of 2, 6 and 8?
The Least Common Multiple of 2, 6 and 8 is 24.
How to Find LCM of 2, 6 and 8?
We can obtain the LCM of 2, 6 and 8 by using three methods:
- Prime Factorisation
- Division method
- Listing the Multiples
LCM of 2, 6 and 8 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 2, 6 and 8 can be expressed as;
2 = 2
6 = 2 × 3
8 = 2 × 2 × 2
LCM (2, 6, 8) = 2 × 2 × 2 × 3 = 24
LCM of 2, 6 and 8 Using Division Method
In the division method, we divide the numbers 2, 6 and 8 by their prime factors until we get the result as one in the complete row. The product of these divisors denotes the least common multiple of 2, 6 and 8.
| 2 | 2 | 6 | 8 |
| 2 | 1 | 3 | 4 |
| 2 | 1 | 3 | 2 |
| 3 | 1 | 3 | 1 |
| x | 1 | 1 | 1 |
No further division can be done.
Therefore, LCM (2, 6, 8) = 2 × 2 × 2 × 3 = 24
LCM of 2, 6 and 8 Using Listing the Multiples
Here, we list down the multiples of given natural numbers to calculate the lowest common multiple among them. Check the multiples of 2, 6 and 8 given below.
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, ………….
Multiples of 6: 6, 12, 18, 24, ……………
Multiples of 8: 8, 16, 24, …………..
LCM (2, 6, 8) = 24
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Prime Factorization and Division Method for LCM and HCF
Video Lesson on Applications of LCM
Solved Example
Question: What is the smallest number that is divisible by 2, 6, and 8 exactly?
Solution: The smallest number that is divisible by 2, 6, 8 exactly is their LCM. The LCM of 2, 6 and 8 is 24. Therefore the smallest number that is divisible by 2, 6, 8 exactly is 24.
Frequently Asked Questions on LCM of 2, 6 and 8
What is the LCM of 2, 6 and 8?
What are the methods used to find the LCM of 2, 6 and 8?
The methods used to find the LCM of 2, 6 and 8 are as follows:
Prime Factorisation
Division Method
Listing the Multiples
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