Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8337/958, 5861/3876 quickly i.e. 48863157/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8337/958, 5861/3876 is 48863157/2.
LCM(8337/958, 5861/3876) = 48863157/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8337/958,5861/3876
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 8337,5861
Least Common Multiple of Numerators i.e. LCM of 8337,5861 is 48863157.
GCF of Denominators means GCF of 958,3876 as per the given fractions.
GCF of 958,3876 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8337,5861
Given numbers has no common factors except 1. So, there LCM is their product i.e 48863157
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 8337,5861 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8337,5861) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8337,5861) x common factors =1 x 1 = 1
LCM(8337,5861) = ( 8337 × 5861 ) / 1
LCM(8337,5861) = 48863157 / 1
LCM(8337,5861) = 48863157
Lets's calculate GCF of 958,3876
2 | 958, 3876 |
479, 1938 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48863157/2
Therefore the LCM of Fractions 8337/958,5861/3876 is 48863157/2
Factors of 958
List of positive integer factors of 958 that divides 958 without a remainder.
1,2,479,958
Factors of 3876
List of positive integer factors of 3876 that divides 3876 without a remainder.
1,2,3,4,6,12,17,19,34,38,51,57,68,76,102,114,204,228,323,646,969,1292,1938,3876
Greatest Common Factor
We found the factors 958,3876 . The biggest common factor number is the GCF number.
So the greatest common factor 958,3876 is 2.
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 8337/958, 5861/3876?
Answer: LCM of Numerators as per given numbers 8337/958, 5861/3876 is
LCM of Numerators i.e. for 8337,5861 is 48863157
GCF of denominators i.e. for 958,3876 is 2.
Thus, LCM of Fractions is 48863157/2.Finally, LCM of Fractions for 8337/958, 5861/3876 is 48863157/2.