Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 131/939, 6151/9389 quickly i.e. 805781 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 131/939, 6151/9389 is 805781.
LCM(131/939, 6151/9389) = 805781
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 131/939,6151/9389
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 131,6151
Least Common Multiple of Numerators i.e. LCM of 131,6151 is 805781.
GCF of Denominators means GCF of 939,9389 as per the given fractions.
GCF of 939,9389 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 131,6151
Given numbers has no common factors except 1. So, there LCM is their product i.e 805781
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 131,6151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(131,6151) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(131,6151) x common factors =1 x 1 = 1
LCM(131,6151) = ( 131 × 6151 ) / 1
LCM(131,6151) = 805781 / 1
LCM(131,6151) = 805781
Lets's calculate GCF of 939,9389
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 805781/1
Therefore the LCM of Fractions 131/939,6151/9389 is 805781
Factors of 939
List of positive integer factors of 939 that divides 939 without a remainder.
1,3,313,939
Factors of 9389
List of positive integer factors of 9389 that divides 9389 without a remainder.
1,41,229,9389
Greatest Common Factor
We found the factors 939,9389 . The biggest common factor number is the GCF number.
So the greatest common factor 939,9389 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 131/939, 6151/9389?
Answer: LCM of Numerators as per given numbers 131/939, 6151/9389 is
LCM of Numerators i.e. for 131,6151 is 805781
GCF of denominators i.e. for 939,9389 is 1.
Thus, LCM of Fractions is 805781.Finally, LCM of Fractions for 131/939, 6151/9389 is 805781.