Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 96/979, 11/973, 109/866 quickly i.e. 115104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 96/979, 11/973, 109/866 is 115104.
LCM(96/979, 11/973, 109/866) = 115104
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 96/979,11/973,109/866
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 96,11,109
Least Common Multiple of Numerators i.e. LCM of 96,11,109 is 115104.
GCF of Denominators means GCF of 979,973,866 as per the given fractions.
GCF of 979,973,866 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 96,11,109
Given numbers has no common factors except 1. So, there LCM is their product i.e 115104
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 96,11,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,11,109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(96,11,109) x common factors =1 x 1 = 1
LCM(96,11,109) = ( 96 × 11 × 109 ) / 1
LCM(96,11,109) = 115104 / 1
LCM(96,11,109) = 115104
Lets's calculate GCF of 979,973,866
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 115104/1
Therefore the LCM of Fractions 96/979,11/973,109/866 is 115104
Factors of 979
List of positive integer factors of 979 that divides 979 without a remainder.
1,11,89,979
Factors of 973
List of positive integer factors of 973 that divides 973 without a remainder.
1,7,139,973
Factors of 866
List of positive integer factors of 866 that divides 866 without a remainder.
1,2,433,866
Greatest Common Factor
We found the factors 979,973,866 . The biggest common factor number is the GCF number.
So the greatest common factor 979,973,866 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 96/979, 11/973, 109/866?
Answer: LCM of Numerators as per given numbers 96/979, 11/973, 109/866 is
LCM of Numerators i.e. for 96,11,109 is 115104
GCF of denominators i.e. for 979,973,866 is 1.
Thus, LCM of Fractions is 115104.Finally, LCM of Fractions for 96/979, 11/973, 109/866 is 115104.