LCM of 4, 5 and 8 is 40. Students can refer to this article to understand the least common multiple 4, 5 and 8. (4, 8, 12, 16, 20, 24, ….), (5, 10, 15, 20, 25, 30, ….) and (8, 16, 24, 32, 40, ….) are the multiples of 4, 5 and 8. The steps used in calculating the LCM of two numbers with the help of prime factorization, listing multiples and division methods are given here in a stepwise format.
Also read: Least common multiple
What is LCM of 4, 5 and 8?
The answer to this question is 40. The LCM of 4, 5 and 8 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 4, 5 and 8, is the smallest positive integer 40 which is divisible by both 4, 5 and 8 with no remainder.
How to Find LCM of 4, 5 and 8?
LCM of 4, 5 and 8 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 4, 5 and 8 Using Prime Factorisation Method
The prime factorisation of 4, 5 and 8, respectively, is given by:
4 = 2 x 2 = 2²
5 = 5 = 5¹
8 = 2 x 2 x 3 = 2³
LCM (4, 5, 8) = 40
LCM of 4, 5 and 8 Using Division Method
We’ll divide the numbers (4, 5, 8) by their prime factors to get the LCM of 4, 5 and 8 using the division method (preferably common). The LCM of 4, 5 and 8 is calculated by multiplying these divisors.
|
2 |
4 |
5 |
8 |
|
2 |
2 |
5 |
4 |
|
2 |
1 |
5 |
2 |
|
5 |
1 |
5 |
1 |
|
x |
1 |
1 |
1 |
No further division can be done.
Hence, LCM (4, 5, 8) = 40
LCM of 4, 5 and 8 Using Listing the Multiples
To calculate the LCM of 4, 5 and 8 by listing out the common multiples, list the multiples as shown below.
|
Multiples of 4 |
Multiples of 5 |
Multiples of 8 |
|
4 |
5 |
8 |
|
8 |
10 |
16 |
|
12 |
15 |
24 |
|
16 |
20 |
32 |
|
20 |
25 |
40 |
|
24 |
30 |
48 |
|
28 |
35 |
56 |
|
32 |
40 |
64 |
|
36 |
45 |
72 |
|
40 |
50 |
80 |
LCM (4, 5, 8) = 40
Related Articles
- Prime Factorization and Division Method for LCM and HCF
- Prime Factors
- Properties of HCF and LCM
- LCM Formula
Video Lesson on Applications of LCM
LCM of 4, 5 and 8 Solved Examples
Question: Find the smallest number exactly divisible by 4, 5 and 8.
Solution:
We know that
LCM is the smallest number exactly divisible by 4, 5 and 8.
Multiples of 4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, ….
Multiples of 5 = 5, 10, 15, 20, 25, 30, 35, 40, …..
Multiples of 8 = 8, 16, 24, 32, 40, 48, …..
Hence, the LCM of 4, 5 and 8 is 40.
Frequently Asked Questions on LCM of 4, 5 and 8
Which methods are used to determine the LCM of 4, 5 and 8?
The methods used to determine the LCM of 4, 5 and 8 are
Prime Factorisation
Division method
Listing the multiples
Using the prime factorisation method, find the LCM of 4, 5 and 8.
First we have to know the factors to find the LCM
4 = 2 x 2 = 2²
5 = 5 = 5¹
8 = 2 x 2 x 3 = 2³
LCM is the product of prime factors raised to the highest exponent among 4, 5 and 8.
LCM of 4, 5 and 8 = 40
Find the GCF if the LCM of 4, 5 and 8 is 40.
LCM x GCF = 4 x 5 x 8
As the LCM = 40
40 x GCF = 160
GCF = 160/40 = 4
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