LCM of 25 and 80 is 400. The value divisible by 25 and 80 gives the LCM value. Students get the least common multiple of 25 and 80 by going through the multiples which are common. The multiples of 25 are (25, 50, 75, 100, 125, 150, 175, ….) and the multiples of 80 are (80, 160, 240, 320, 400, 480, ….) respectively. Prime factorisation, listing of the multiples and division are the methods used to determine the LCM.
Also read: Least common multiple
What is LCM of 25 and 80?
The answer to this question is 400. In this article the LCM of 25 and 80 using different methods is provided for your reference. The LCM of 25 and 80, is the smallest integer 400 which is divisible by 25 and 80 with no remainder.
How to Find LCM of 25 and 80?
LCM of 25 and 80 can be calculated using the following methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 25 and 80 Using Prime Factorisation Method
The prime factorisation of 25 and 80 can be written as:
25 = 5 x 5 = 5²
80 = 2 x 2 x 2 x 2 x 5 = 2⁴ x 5¹
LCM (25, 80) = 400
LCM of 25 and 80 Using Division Method
We have to divide (25, 80) by the factors to obtain the LCM of 25 and 80 using the division method. The LCM of 25 and 80 is found by multiplying the divisors.
|
2 |
25 |
80 |
|
2 |
25 |
40 |
|
2 |
25 |
20 |
|
2 |
25 |
10 |
|
5 |
25 |
5 |
|
5 |
5 |
1 |
|
x |
1 |
1 |
No further division can be done.
Hence, LCM (25, 80) = 400
LCM of 25 and 80 Using Listing the Multiples
You can find the LCM of 25 and 80 by listing out the common multiples as shown below.
- Multiples of 25 = 25, 50, 75, 100, 125, 150, 175, 200, 225, 250, . . . ., 325, 350, 375, 400, . . . .
- Multiples of 80 = 80, 160, 240, 320, 400, 480, 560, 640, 720, 800, . . . ., 80, 160, 240, 320, 400, . . . .
LCM (25, 80) = 400
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Video Lesson on Applications of LCM
LCM of 25 and 80 Solved Examples
Question: What is the smallest number which is divisible exactly by 25 and 80?
Solution:
The smallest number divisible by 25 and 80 exactly is the LCM
(25, 50, 75, 100, 125, 150, 175, 200, 225, 250, . . . ., 325, 350, 375, 400, . . . .) are the multiples of 25
(80, 160, 240, 320, 400, 480, 560, 640, 720, 800, . . . ., 80, 160, 240, 320, 400, . . . .) are the multiples of 80
Hence, LCM of 25 and 80 is 400.
Frequently Asked Questions on LCM of 25 and 80
What is the LCM of 25 and 80?
Calculate GCF if the LCM of 25 and 80 is 400.
LCM x GCF = 25 x 80
Given
LCM of 25 and 80 is 400
400 x GCF = 2000
GCF = 2000/400 = 5
What methods can be applied to find the LCM of 25 and 80?
The methods which can be applied to find the LCM of 25 and 80 are
Prime Factorisation
Division method
Listing the multiples
The LCM and GCD of two numbers are 400 and 5. If one number is 80, what is the other number?
Consider p as the other number.
LCM x GCD = 80 x p
p = (LCM x GCD)/ 80
p = (5 x 400)/ 80
p = 25
Hence, the other number is 25.
Find the LCM of 25 and 80 using prime factorisation.
Using prime factorisation
25 = 5 x 5
80 = 2 x 2 x 2 x 2 x 5
Therefore, the LCM of 25 and 80 is 400.
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