Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 314/831, 3093/6187 quickly i.e. 971202 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 314/831, 3093/6187 is 971202.
LCM(314/831, 3093/6187) = 971202
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 314/831,3093/6187
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 314,3093
Least Common Multiple of Numerators i.e. LCM of 314,3093 is 971202.
GCF of Denominators means GCF of 831,6187 as per the given fractions.
GCF of 831,6187 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 314,3093
Given numbers has no common factors except 1. So, there LCM is their product i.e 971202
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 314,3093 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(314,3093) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(314,3093) x common factors =1 x 1 = 1
LCM(314,3093) = ( 314 × 3093 ) / 1
LCM(314,3093) = 971202 / 1
LCM(314,3093) = 971202
Lets's calculate GCF of 831,6187
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 971202/1
Therefore the LCM of Fractions 314/831,3093/6187 is 971202
Factors of 831
List of positive integer factors of 831 that divides 831 without a remainder.
1,3,277,831
Factors of 6187
List of positive integer factors of 6187 that divides 6187 without a remainder.
1,23,269,6187
Greatest Common Factor
We found the factors 831,6187 . The biggest common factor number is the GCF number.
So the greatest common factor 831,6187 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 314/831, 3093/6187?
Answer: LCM of Numerators as per given numbers 314/831, 3093/6187 is
LCM of Numerators i.e. for 314,3093 is 971202
GCF of denominators i.e. for 831,6187 is 1.
Thus, LCM of Fractions is 971202.Finally, LCM of Fractions for 314/831, 3093/6187 is 971202.