LCM of 125 and 75 is 375. LCM also known as Least Common multiple or Lowest common multiple is the smallest or the least positive integer that is divisible by the given set of numbers. Consider the example for finding the LCM of 125 and 75. The answer is 375. 375 is divisible by both 125 and 75. Even 750 is divisible by 125 and 75, however it is not the LCM for 125 and 75. The smaller number than 750 is 375 which is divisible by both 125 and 75. Hence 375 is the Least Common Multiple for 125 and 75. You can refer to LCM with Examples for better understanding.
What is LCM of 125 and 75
The Least Common Multiple or Lowest Common Multiple of 125 and 75 is 375.
How to Find LCM of 125 and 75?
LCM of 125 and 75 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 125 and 75 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 125 and 75 can be expressed as;
125 = 5 × 5 × 5
75 = 3 × 5 × 5
LCM (125, 75) = 3 × 5 × 5 × 5 = 375
LCM of 125 and 75 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.
|
3 |
125 |
75 |
|
5 |
125 |
25 |
|
5 |
25 |
5 |
|
5 |
5 |
1 |
|
× |
1 |
1 |
LCM (125, 75) = 3 × 5 × 5 × 5 = 375
LCM of 125 and 75 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 125 and 75
Multiples of 125:
125, 250, 375, 500, 625…
Multiples of 75:
75, 150, 225, 300, 375, 450, 525…
LCM (125, 75) = 375
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by both 125 and 75?
Answer: 375 is the smallest number that is divisible by both 125 and 75.
What is the LCM of 5, 15, 125 and 75?
Answer: The LCM of 5, 15, 125 and 75 is 375 as 5 is the factor of 125 and 75 and 15 is the factor of 75.
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