Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2311/909, 2771/454 quickly i.e. 6403781 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2311/909, 2771/454 is 6403781.
LCM(2311/909, 2771/454) = 6403781
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2311/909,2771/454
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 2311,2771
Least Common Multiple of Numerators i.e. LCM of 2311,2771 is 6403781.
GCF of Denominators means GCF of 909,454 as per the given fractions.
GCF of 909,454 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2311,2771
Given numbers has no common factors except 1. So, there LCM is their product i.e 6403781
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 2311,2771 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2311,2771) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2311,2771) x common factors =1 x 1 = 1
LCM(2311,2771) = ( 2311 × 2771 ) / 1
LCM(2311,2771) = 6403781 / 1
LCM(2311,2771) = 6403781
Lets's calculate GCF of 909,454
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6403781/1
Therefore the LCM of Fractions 2311/909,2771/454 is 6403781
Factors of 909
List of positive integer factors of 909 that divides 909 without a remainder.
1,3,9,101,303,909
Factors of 454
List of positive integer factors of 454 that divides 454 without a remainder.
1,2,227,454
Greatest Common Factor
We found the factors 909,454 . The biggest common factor number is the GCF number.
So the greatest common factor 909,454 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 2311/909, 2771/454?
Answer: LCM of Numerators as per given numbers 2311/909, 2771/454 is
LCM of Numerators i.e. for 2311,2771 is 6403781
GCF of denominators i.e. for 909,454 is 1.
Thus, LCM of Fractions is 6403781.Finally, LCM of Fractions for 2311/909, 2771/454 is 6403781.