Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 311/771, 6696/257 quickly i.e. 2082456/257 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 311/771, 6696/257 is 2082456/257.
LCM(311/771, 6696/257) = 2082456/257
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 311/771,6696/257
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 311,6696
Least Common Multiple of Numerators i.e. LCM of 311,6696 is 2082456.
GCF of Denominators means GCF of 771,257 as per the given fractions.
GCF of 771,257 is 257 as it is the largest common factor for these numbers.
Lets's calculate LCM of 311,6696
Given numbers has no common factors except 1. So, there LCM is their product i.e 2082456
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 311,6696 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(311,6696) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(311,6696) x common factors =1 x 1 = 1
LCM(311,6696) = ( 311 × 6696 ) / 1
LCM(311,6696) = 2082456 / 1
LCM(311,6696) = 2082456
Lets's calculate GCF of 771,257
257 | 771, 257 |
3, 1 |
∴ So the GCF of the given numbers is 257 = 257
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2082456/257
Therefore the LCM of Fractions 311/771,6696/257 is 2082456/257
Factors of 771
List of positive integer factors of 771 that divides 771 without a remainder.
1,3,257,771
Factors of 257
List of positive integer factors of 257 that divides 257 without a remainder.
1,257
Greatest Common Factor
We found the factors 771,257 . The biggest common factor number is the GCF number.
So the greatest common factor 771,257 is 257.
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 311/771, 6696/257?
Answer: LCM of Numerators as per given numbers 311/771, 6696/257 is
LCM of Numerators i.e. for 311,6696 is 2082456
GCF of denominators i.e. for 771,257 is 257.
Thus, LCM of Fractions is 2082456/257.Finally, LCM of Fractions for 311/771, 6696/257 is 2082456/257.