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:
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
5 | 125 | 175 |
5 | 25 | 35 |
5 | 5 | 7 |
7 | 1 | 7 |
1 | 1 |