Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9419/326, 4341/1375 quickly i.e. 40887879 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9419/326, 4341/1375 is 40887879.
LCM(9419/326, 4341/1375) = 40887879
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9419/326,4341/1375
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 9419,4341
Least Common Multiple of Numerators i.e. LCM of 9419,4341 is 40887879.
GCF of Denominators means GCF of 326,1375 as per the given fractions.
GCF of 326,1375 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9419,4341
Given numbers has no common factors except 1. So, there LCM is their product i.e 40887879
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 9419,4341 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9419,4341) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9419,4341) x common factors =1 x 1 = 1
LCM(9419,4341) = ( 9419 × 4341 ) / 1
LCM(9419,4341) = 40887879 / 1
LCM(9419,4341) = 40887879
Lets's calculate GCF of 326,1375
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40887879/1
Therefore the LCM of Fractions 9419/326,4341/1375 is 40887879
Factors of 326
List of positive integer factors of 326 that divides 326 without a remainder.
1,2,163,326
Factors of 1375
List of positive integer factors of 1375 that divides 1375 without a remainder.
1,5,11,25,55,125,275,1375
Greatest Common Factor
We found the factors 326,1375 . The biggest common factor number is the GCF number.
So the greatest common factor 326,1375 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 9419/326, 4341/1375?
Answer: LCM of Numerators as per given numbers 9419/326, 4341/1375 is
LCM of Numerators i.e. for 9419,4341 is 40887879
GCF of denominators i.e. for 326,1375 is 1.
Thus, LCM of Fractions is 40887879.Finally, LCM of Fractions for 9419/326, 4341/1375 is 40887879.