Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/857, 7848/4981 quickly i.e. 714168 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/857, 7848/4981 is 714168.
LCM(91/857, 7848/4981) = 714168
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/857,7848/4981
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 91,7848
Least Common Multiple of Numerators i.e. LCM of 91,7848 is 714168.
GCF of Denominators means GCF of 857,4981 as per the given fractions.
GCF of 857,4981 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,7848
Given numbers has no common factors except 1. So, there LCM is their product i.e 714168
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 91,7848 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,7848) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,7848) x common factors =1 x 1 = 1
LCM(91,7848) = ( 91 × 7848 ) / 1
LCM(91,7848) = 714168 / 1
LCM(91,7848) = 714168
Lets's calculate GCF of 857,4981
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 714168/1
Therefore the LCM of Fractions 91/857,7848/4981 is 714168
Factors of 857
List of positive integer factors of 857 that divides 857 without a remainder.
1,857
Factors of 4981
List of positive integer factors of 4981 that divides 4981 without a remainder.
1,17,293,4981
Greatest Common Factor
We found the factors 857,4981 . The biggest common factor number is the GCF number.
So the greatest common factor 857,4981 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 91/857, 7848/4981?
Answer: LCM of Numerators as per given numbers 91/857, 7848/4981 is
LCM of Numerators i.e. for 91,7848 is 714168
GCF of denominators i.e. for 857,4981 is 1.
Thus, LCM of Fractions is 714168.Finally, LCM of Fractions for 91/857, 7848/4981 is 714168.