LCM of 15, 20 and 25 is 300. The Least Common multiple or Lowest common multiple simply known as LCM, is the smallest or the least positive integer that is divisible by the given set of numbers. In the given set of numbers 15, 20 and 25, 300 is the first(least or smallest) number that is common in the set of multiples of 15, 20 and 25. The LCM, also known as LCD, Least Common Divisor for 15, 20 and 25 is 300. You can use the LCM with Examples for better understanding.
What is LCM of 15, 20 and 25
The Least Common Multiple or Lowest Common Multiple of 15, 20 and 25 is 300.
How to Find LCM of 15, 20 and 25?
LCM of 15, 20 and 25 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 15, 20 and 25 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 15, 20 and 25 can be expressed as;
15 = 3 × 5
20 = 2 × 2 × 5
25 = 5 × 5
LCM (15, 20, 25) = 2 × 2 × 3 × 5 × 5 = 300
LCM of 15, 20 and 25 Using Division Method
In the Division Method, the given set of numbers are written in the same row separated by a comma. These numbers are divided with the smallest number that divides all, until no further division is possible or only when prime numbers are left.
|
2 |
15 |
20 |
25 |
|
2 |
15 |
10 |
25 |
|
3 |
15 |
5 |
25 |
|
5 |
5 |
5 |
25 |
|
5 |
1 |
1 |
5 |
|
× |
1 |
1 |
1 |
LCM (15, 20, 25) = 2 x 2 x 3 x 5 x 5 = 300
LCM of 15, 20 and 25 Using Listing the Multiples
By listing all the multiples of given numbers, we can identify the first/smallest/least common multiple, which is the LCM. Below is the list of multiples for 15, 20 and 25
Multiples of 15:
15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300, 315, 330…
Multiples of 20:
20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, 260, 280, 300, 320, 340….
Multiples of 25:
25, 50, 75, 100, 125, 150, 175, 200, 225, 250, 275, 300, 325, 350…
LCM (15, 20, 25) = 300
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by 15, 20 and 25?
Answer: 300 is the smallest number that is divisible by 15, 20 and 25.
What is the LCM for 5, 10, 15, 20 and 25?
Answer: LCM for 5, 10, 15, 20 and 25 is 300 as 5 is the factor for the rest of the numbers and 10 is the factor of 20.
Comments