LCM of 2, 4 and 8 is 8. In the given set of numbers 2, 4 and 8, 8 is the first(least or smallest) number that is common in the set of multiples of 2, 4 and 8. The Least/Lowest Common multiple simply known as LCM(here 8), is the smallest or the least positive integer that is divisible by the given numbers(here 2, 4 and 8). You can refer to LCM.
What is LCM of 2, 4 and 8
The Least Common Multiple or Lowest Common Multiple of 2, 4 and 8 is 8.
How to Find LCM of 2, 4 and 8?
LCM of 2, 4 and 8 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 2, 4 and 8 Using Prime Factorisation Method
In the Prime Factorisation method, 2, 4, and 8 can be expressed as;
2 = 1 × 2
4 = 2 × 2
8 = 2 × 2 × 2
Since the factors of 8 are common factors for 2 and 4 also, the LCM is 8.
LCM (2, 4, 8) = 2 × 2 × 2 = 8
LCM of 2, 4 and 8 Using Division Method
In the Division Method, the numbers 2, 4 and 8 are divided by the prime factors starting with 2. As all 3 numbers are even numbers, 2 will be the prime divisors of all 3. Product of the divisors forms the LCM.
|
2 |
2 |
4 |
8 |
|
2 |
1 |
2 |
4 |
|
2 |
1 |
1 |
2 |
|
× |
1 |
1 |
1 |
LCM (2, 4, 8) = 2 × 2 × 2 = 8
LCM of 2, 4 and 8 Using Listing the Multiples
By listing all the multiples of 2, 4 and 8, we can identify the least common multiple, which is the LCM. Below is the list of multiples for 2, 4 and 8
|
Multiples of 2 |
Multiples of 4 |
Multiples of 8 |
|
2 |
4 |
8 |
|
4 |
8 |
16 |
|
6 |
12 |
24 |
|
8 |
16 |
32 |
|
10 |
20 |
40 |
LCM (2, 4, 8) = 8
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by 2, 4 and 8?
Answer: 8 is the smallest number that is divisible by 2, 4 and 8.
What is the HCF for 2, 4 and 8?
Answer: HCF for 2, 4 and 8 is 2.
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