Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1013/771, 5956/3357 quickly i.e. 6033428/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1013/771, 5956/3357 is 6033428/3.
LCM(1013/771, 5956/3357) = 6033428/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1013/771,5956/3357
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 1013,5956
Least Common Multiple of Numerators i.e. LCM of 1013,5956 is 6033428.
GCF of Denominators means GCF of 771,3357 as per the given fractions.
GCF of 771,3357 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1013,5956
Given numbers has no common factors except 1. So, there LCM is their product i.e 6033428
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 1013,5956 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1013,5956) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1013,5956) x common factors =1 x 1 = 1
LCM(1013,5956) = ( 1013 × 5956 ) / 1
LCM(1013,5956) = 6033428 / 1
LCM(1013,5956) = 6033428
Lets's calculate GCF of 771,3357
3 | 771, 3357 |
257, 1119 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6033428/3
Therefore the LCM of Fractions 1013/771,5956/3357 is 6033428/3
Factors of 771
List of positive integer factors of 771 that divides 771 without a remainder.
1,3,257,771
Factors of 3357
List of positive integer factors of 3357 that divides 3357 without a remainder.
1,3,9,373,1119,3357
Greatest Common Factor
We found the factors 771,3357 . The biggest common factor number is the GCF number.
So the greatest common factor 771,3357 is 3.
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 1013/771, 5956/3357?
Answer: LCM of Numerators as per given numbers 1013/771, 5956/3357 is
LCM of Numerators i.e. for 1013,5956 is 6033428
GCF of denominators i.e. for 771,3357 is 3.
Thus, LCM of Fractions is 6033428/3.Finally, LCM of Fractions for 1013/771, 5956/3357 is 6033428/3.