Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/899, 8404/4105 quickly i.e. 764764 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/899, 8404/4105 is 764764.
LCM(91/899, 8404/4105) = 764764
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/899,8404/4105
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 91,8404
Least Common Multiple of Numerators i.e. LCM of 91,8404 is 764764.
GCF of Denominators means GCF of 899,4105 as per the given fractions.
GCF of 899,4105 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,8404
Given numbers has no common factors except 1. So, there LCM is their product i.e 764764
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 91,8404 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,8404) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,8404) x common factors =1 x 1 = 1
LCM(91,8404) = ( 91 × 8404 ) / 1
LCM(91,8404) = 764764 / 1
LCM(91,8404) = 764764
Lets's calculate GCF of 899,4105
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 764764/1
Therefore the LCM of Fractions 91/899,8404/4105 is 764764
Factors of 899
List of positive integer factors of 899 that divides 899 without a remainder.
1,29,31,899
Factors of 4105
List of positive integer factors of 4105 that divides 4105 without a remainder.
1,5,821,4105
Greatest Common Factor
We found the factors 899,4105 . The biggest common factor number is the GCF number.
So the greatest common factor 899,4105 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 91/899, 8404/4105?
Answer: LCM of Numerators as per given numbers 91/899, 8404/4105 is
LCM of Numerators i.e. for 91,8404 is 764764
GCF of denominators i.e. for 899,4105 is 1.
Thus, LCM of Fractions is 764764.Finally, LCM of Fractions for 91/899, 8404/4105 is 764764.