# 125 and 175 LCM LCM of 125 and 175 is equal to 875. The comprehensive work provides more insight of how to find what is the lcm of 125 and 175 by using prime factors and special division methods, and the example use case of mathematics and real world problems.

what is the lcm of 125 and 175?
lcm (125   175) = (?)
125 => 5 x 5 x 5
175 => 5 x 5 x 7

= 5 x 5 x 5 x 7
= 875
lcm (125 and 175) = 875
875 is the lcm of 125 and 175.

where,
125 is a positive integer,
175 is a positive integer,
875 is the lcm of 125 and 175,
{5 x 5} in {5 x 5 x 5, 5 x 5 x 7} are the common factors of 125 and 175,
{5 x 7} in {5 x 5 x 5, 5 x 5 x 7} are the uncommon factors of 125 and 175.

Use in Mathematics: LCM of 125 and 175
The below are some of the mathematical applications where lcm of 125 and 175 can be used:

1. to find the least number which is exactly divisible by 125 and 175.
2. to find the common denominator for two fractions having 125 and 175 as denominators in the unlike fractions addition or subtraction.
Use in Real-world Problems: 125 and 175 lcm
In the context of lcm real world problems, the lcm of 125 and 175 helps to find the exact time when two similar and recurring events with different time schedule happens together at the same time. For example, the real world problems involve lcm in situations to find at what time the bells A and B all toll together, if bell A tolls at 125 seconds and bell B tolls at 175 seconds repeatedly. The answer is that all bells A and B toll together at 875 seconds for the first time, at 1750 seconds for the second time, at 2625 seconds for the third time and so on.

Important Notes: 125 and 175 lcm
The below are the important notes to be remembered while solving the lcm of 125 and 175:
1. The common prime factors and the remaining prime factors of 125 and 175 should be multiplied to find the least common multiple of 125 and 175, when solving lcm by using prime factors method.
2. The results of lcm of 125 and 175, and the lcm of 175 and 125 are identical, it means the order of given numbers in the lcm calculation doesn't affect the results.
For values other than 125 and 175, use this below tool:

## How-to: What is the LCM of 125 and 175?

The below solved example with step by step work shows how to find what is the lcm of 125 and 175 by using prime factors method and division method.

Solved example using prime factors method:
What is the LCM of 125 and 175?

step 1 Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 125
B = 175

What to be found:
find the lcm of 125 and 175

step 2 Find the prime factors of 125 and 175:
Prime factors of 125 = 5 x 5 x 5
Prime factors of 175 = 5 x 5 x 7

step 3 Identify the repeated and non-repeated prime factors of 125 and 175:
{5, 5} are the most repeated factors and {5 x 7} are the non-repeated factors of 125 and 175.

step 4 Find the product of repeated and non-repeated prime factors of 125 and 175:
= 5 x 5 x 5 x 7
= 875
lcm(125 and 175) = 875

Hence,
lcm of 125 and 175 is 875

Solved example using special division method:
This special division method is the easiest way to understand the entire calculation of what is the lcm of 125 and 175.

step 1 Address the input parameters, values and observe what to be found:
Input parameters and values:
Integers: 125 and 175

What to be found:
lcm (125, 175) = ?

step 2 Arrange the given integers in the horizontal form with space or comma separated format:
125 and 175

step 3 Choose the divisor which divides each or most of the given integers (125 and 175), divide each integers separately and write down the quotient in the next line right under the respective integers. Bring down the integer to the next line if any integer in 125 and 175 is not divisible by the selected divisor; repeat the same process until all the integers are brought to 1 as like below:

 5 125 175 5 25 35 5 5 7 7 1 7 1 1

step 4 Multiply the divisors to find the lcm of 125 and 175:
= 5 x 5 x 5 x 7
= 875
LCM(125, 175) = 875

The least common multiple for two numbers 125 and 175 is 875 