Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 157/311, 957/415, 743/184 quickly i.e. 111635007 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 157/311, 957/415, 743/184 is 111635007.
LCM(157/311, 957/415, 743/184) = 111635007
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 157/311,957/415,743/184
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 157,957,743
Least Common Multiple of Numerators i.e. LCM of 157,957,743 is 111635007.
GCF of Denominators means GCF of 311,415,184 as per the given fractions.
GCF of 311,415,184 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 157,957,743
Given numbers has no common factors except 1. So, there LCM is their product i.e 111635007
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 157,957,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(157,957,743) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(157,957,743) x common factors =1 x 1 = 1
LCM(157,957,743) = ( 157 × 957 × 743 ) / 1
LCM(157,957,743) = 111635007 / 1
LCM(157,957,743) = 111635007
Lets's calculate GCF of 311,415,184
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 111635007/1
Therefore the LCM of Fractions 157/311,957/415,743/184 is 111635007
Factors of 311
List of positive integer factors of 311 that divides 311 without a remainder.
1,311
Factors of 415
List of positive integer factors of 415 that divides 415 without a remainder.
1,5,83,415
Factors of 184
List of positive integer factors of 184 that divides 184 without a remainder.
1,2,4,8,23,46,92,184
Greatest Common Factor
We found the factors 311,415,184 . The biggest common factor number is the GCF number.
So the greatest common factor 311,415,184 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 157/311, 957/415, 743/184?
Answer: LCM of Numerators as per given numbers 157/311, 957/415, 743/184 is
LCM of Numerators i.e. for 157,957,743 is 111635007
GCF of denominators i.e. for 311,415,184 is 1.
Thus, LCM of Fractions is 111635007.Finally, LCM of Fractions for 157/311, 957/415, 743/184 is 111635007.