LCM of 4, 6 and 8 is 24. The value that is evenly divisible by the numbers 4, 6 and 8 indicates the LCM. Students can get the least common multiple of 4, 6 and 8 from the multiples which are common in the given numbers. The multiples of 4 are (4, 8, 12, 16, 20, 24, ….), the multiples of 6 are (6, 12, 18, 24, 30, …..) and the multiples of 8 are (8, 16, 24, 32, 40, 48, ….) respectively. Prime factorisation, listing of the multiples and division are some of the methods used to find the LCM.
Also read: Least common multiple
What is LCM of 4, 6 and 8?
The answer to this question is 24. The LCM of 4, 6 and 8 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 4, 6 and 8, is the smallest positive integer 24 which is divisible by both 4, 6 and 8 with no remainder.
How to Find LCM of 4, 6 and 8?
LCM of 4, 6 and 8 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 4, 6 and 8 Using Prime Factorisation Method
The prime factorisation of 4, 6 and 8, respectively, is given by:
4 = 2 x 2 = 2²
6 = 2 x 3 = 2¹ x 3¹
8 = 2 x 2 x 2 = 2³
LCM (4, 6, 8) = 24
LCM of 4, 6 and 8 Using Division Method
We’ll divide the numbers (4, 6, 8) by their prime factors to get the LCM of 4, 6 and 8 using the division method (preferably common). The LCM of 4, 6 and 8 is calculated by multiplying these divisors.
|
2 |
4 |
6 |
8 |
|
2 |
2 |
3 |
4 |
|
2 |
1 |
3 |
2 |
|
3 |
1 |
3 |
1 |
|
x |
1 |
1 |
1 |
No further division can be done.
Hence, LCM (4, 6, 8) = 24
LCM of 4, 6 and 8 Using Listing the Multiples
To calculate the LCM of 4, 6 and 8 by listing out the common multiples, list the multiples as shown below
|
Multiples of 4 |
Multiples of 6 |
Multiples of 8 |
|
4 |
6 |
8 |
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8 |
12 |
16 |
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12 |
18 |
24 |
|
16 |
24 |
32 |
|
20 |
30 |
40 |
|
24 |
36 |
48 |
|
28 |
42 |
56 |
LCM (4, 6, 8) = 24
Related Articles
Video Lesson on Applications of LCM
LCM of 4, 6 and 8 Solved Examples
Question: Determine the smallest number which is divisible exactly by 4, 6 and 8.
Solution:
The smallest number divisible by 4, 6 and 8 exactly is the LCM
Multiples of 4 = 4, 8, 12, 16, 20, 24, ….
Multiples of 6 = 6, 12, 18, 24, 30, 36, …
Multiples of 8 = 8, 16, 24, 32, 40, ….
Hence, LCM of 4, 6 and 8 is 24.
Frequently Asked Questions on LCM of 4, 6 and 8
What is the LCM of 4, 6 and 8?
Calculate GCF if the LCM of 4, 6 and 8 is 24.
LCM x GCF = 4 x 6 x 8
Given
LCM of 4, 6 and 8 is 24
24 x GCF = 192
GCF = 192/24 = 8
What methods can be applied to find the LCM of 4, 6 and 8?
The methods which can be applied to find the LCM of 4, 6 and 8 are
Prime Factorisation
Division method
Listing the multiples
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