Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 317/80, 117/99, 311/874 quickly i.e. 11534679 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 317/80, 117/99, 311/874 is 11534679.
LCM(317/80, 117/99, 311/874) = 11534679
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 317/80,117/99,311/874
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 317,117,311
Least Common Multiple of Numerators i.e. LCM of 317,117,311 is 11534679.
GCF of Denominators means GCF of 80,99,874 as per the given fractions.
GCF of 80,99,874 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 317,117,311
Given numbers has no common factors except 1. So, there LCM is their product i.e 11534679
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 317,117,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(317,117,311) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(317,117,311) x common factors =1 x 1 = 1
LCM(317,117,311) = ( 317 × 117 × 311 ) / 1
LCM(317,117,311) = 11534679 / 1
LCM(317,117,311) = 11534679
Lets's calculate GCF of 80,99,874
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11534679/1
Therefore the LCM of Fractions 317/80,117/99,311/874 is 11534679
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 874
List of positive integer factors of 874 that divides 874 without a remainder.
1,2,19,23,38,46,437,874
Greatest Common Factor
We found the factors 80,99,874 . The biggest common factor number is the GCF number.
So the greatest common factor 80,99,874 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 317/80, 117/99, 311/874?
Answer: LCM of Numerators as per given numbers 317/80, 117/99, 311/874 is
LCM of Numerators i.e. for 317,117,311 is 11534679
GCF of denominators i.e. for 80,99,874 is 1.
Thus, LCM of Fractions is 11534679.Finally, LCM of Fractions for 317/80, 117/99, 311/874 is 11534679.