LCM of 5 and 40 is 40. The least common multiple of 5 and 40 can be obtained with ease from the common multiples. The multiples of 5 are (5, 10, 15, 20, 25, 30, 35, 40, ….) and the multiples of 40 are (40, 80, 120, 160, 200, 240, ….) respectively. Prime factorisation, listing of the multiples and division are the most commonly used methods to find the LCM.
Also read: Least common multiple
What is LCM of 5 and 40?
The answer to this question is 40. The LCM of 5 and 40 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 5 and 40, is the smallest positive integer 40 which is divisible by both 5 and 40 with no remainder.
How to Find LCM of 5 and 40?
LCM of 5 and 40 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 5 and 40 Using Prime Factorisation Method
The prime factorisation of 5 and 40, respectively, is given by:
5 = 5 = 5¹
40 = 2 x 2 x 2 x 5 = 2³ x 5¹
LCM (5, 40) = 40
LCM of 5 and 40 Using Division Method
We’ll divide the numbers (5, 40) by their prime factors to get the LCM of 5 and 40 using the division method (preferably common). The LCM of 5 and 40 is calculated by multiplying these divisors.
|
2 |
5 |
40 |
|
2 |
5 |
20 |
|
2 |
5 |
10 |
|
5 |
5 |
5 |
|
x |
1 |
1 |
No further division can be done.
Hence, LCM (5, 40) = 40
LCM of 5 and 40 Using Listing the Multiples
To calculate the LCM of 5 and 40 by listing out the common multiples, list the multiples as shown below
|
Multiples of 5 |
Multiples of 40 |
|
5 |
40 |
|
10 |
80 |
|
15 |
120 |
|
20 |
160 |
|
25 |
200 |
|
30 |
240 |
|
35 |
280 |
|
40 |
320 |
LCM (5, 40) = 40
Related Articles
Video Lesson on Applications of LCM
LCM of 5 and 40 Solved Examples
Question: If GCD = 5 and product of two numbers = 200, find the LCM.
Solution:
Given
GCD = 5
Product = 200
GCD x LCM = Product
LCM = Product/GCD
LCM = 200/5
LCM = 40
Hence, LCM of 5 and 40 is 40.
Frequently Asked Questions on LCM of 5 and 40
What is the LCM of 5 and 40?
What is the GCF if the LCM of 5 and 40 is 40?
LCM x GCF = 5 x 40
Given
LCM of 5 and 40 is 40
40 x GCF = 200
GCF = 200/40 = 5
What are the methods which can be applied to find the LCM of 5 and 40?
The methods which can be applied to find the LCM of 5 and 40 are
Prime Factorisation
Division method
Listing the multiples
The LCM and GCD of two numbers are 40 and 5. If one number is 5, what is the other number?
Consider a as the other number
GCD x LCM = 5 x b
b = (GCD x LCM)/5
b = (5 x 40)/5
b = 40
Hence, the other number is 40.
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