Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7388/132, 3601/875 quickly i.e. 26604188 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7388/132, 3601/875 is 26604188.
LCM(7388/132, 3601/875) = 26604188
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7388/132,3601/875
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 7388,3601
Least Common Multiple of Numerators i.e. LCM of 7388,3601 is 26604188.
GCF of Denominators means GCF of 132,875 as per the given fractions.
GCF of 132,875 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7388,3601
Given numbers has no common factors except 1. So, there LCM is their product i.e 26604188
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 7388,3601 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7388,3601) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7388,3601) x common factors =1 x 1 = 1
LCM(7388,3601) = ( 7388 × 3601 ) / 1
LCM(7388,3601) = 26604188 / 1
LCM(7388,3601) = 26604188
Lets's calculate GCF of 132,875
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26604188/1
Therefore the LCM of Fractions 7388/132,3601/875 is 26604188
Factors of 132
List of positive integer factors of 132 that divides 132 without a remainder.
1,2,3,4,6,11,12,22,33,44,66,132
Factors of 875
List of positive integer factors of 875 that divides 875 without a remainder.
1,5,7,25,35,125,175,875
Greatest Common Factor
We found the factors 132,875 . The biggest common factor number is the GCF number.
So the greatest common factor 132,875 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 7388/132, 3601/875?
Answer: LCM of Numerators as per given numbers 7388/132, 3601/875 is
LCM of Numerators i.e. for 7388,3601 is 26604188
GCF of denominators i.e. for 132,875 is 1.
Thus, LCM of Fractions is 26604188.Finally, LCM of Fractions for 7388/132, 3601/875 is 26604188.