LCM of 125 and 175 is 875. LCM stands for Least/Lowest Common multiple. The LCM is alternately used as LCD, which is Least Common Divisor. LCM/LCD is the smallest/least positive integer that is divisible by the given set of numbers. Consider the example for finding the LCM of 125 and 175. The answer is 875. 875 is divisible by both 125 and 175. Even 8750 is divisible by 125 and 175, however it is not the LCM for 125 and 175. The smaller number than 8750 is 875 which is divisible by both 125 and 175. Hence 875 is the Least Common Multiple for 125 and 175. You can refer to LCM with Examples for better understanding.
What is LCM of 125 and 175
The Least Common Multiple or Lowest Common Multiple of 125 and 175 is 875.
How to Find LCM of 125 and 175?
LCM of 125 and 175 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 125 and 175 Using Prime Factorisation Method
In the Prime Factorisation method, 125 and 175 are expressed as;
125 = 5 × 5 × 5
175 = 5 × 5 × 7
The product of the common factors forms the LCM.
LCM (125, 175) = 5 × 5 × 5 × 7 = 875
LCM of 125 and 175 Using Division Method
In the Division Method, the given set of numbers are divided by a smallest prime number and continued till the remainder becomes 1. The product of the prime factors is the LCM. The division steps are shown in the division table below;
|
5 |
125 |
175 |
|
5 |
25 |
35 |
|
5 |
5 |
7 |
|
7 |
1 |
7 |
|
× |
1 |
1 |
LCM (125, 175) = 5 × 5 × 5 × 7 = 875
LCM of 125 and 175 Using Listing the Multiples
By listing all the multiples of given numbers, we can identify the least common multiple, which is the LCM. Below is the list of multiples for 125 and 175
Multiples of 125
125, 250, 375, 500, 625, 750, 875, 1000, 1125
Multiples of 175
175, 350, 525, 700, 875, 1050, 1225
LCM (125, 175) = 875
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by both 125 and 175?
Answer: 875 is the smallest number that is divisible by both 125 and 175.
What is the LCM of 5, 125 and 175?
Answer: The LCM of 5, 125 and 175 is 875 as 5 is the factor of 125 and 175 both.
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