Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7337/895, 5831/2887 quickly i.e. 42782047 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7337/895, 5831/2887 is 42782047.
LCM(7337/895, 5831/2887) = 42782047
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7337/895,5831/2887
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 7337,5831
Least Common Multiple of Numerators i.e. LCM of 7337,5831 is 42782047.
GCF of Denominators means GCF of 895,2887 as per the given fractions.
GCF of 895,2887 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7337,5831
Given numbers has no common factors except 1. So, there LCM is their product i.e 42782047
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 7337,5831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7337,5831) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7337,5831) x common factors =1 x 1 = 1
LCM(7337,5831) = ( 7337 × 5831 ) / 1
LCM(7337,5831) = 42782047 / 1
LCM(7337,5831) = 42782047
Lets's calculate GCF of 895,2887
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42782047/1
Therefore the LCM of Fractions 7337/895,5831/2887 is 42782047
Factors of 895
List of positive integer factors of 895 that divides 895 without a remainder.
1,5,179,895
Factors of 2887
List of positive integer factors of 2887 that divides 2887 without a remainder.
1,2887
Greatest Common Factor
We found the factors 895,2887 . The biggest common factor number is the GCF number.
So the greatest common factor 895,2887 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 7337/895, 5831/2887?
Answer: LCM of Numerators as per given numbers 7337/895, 5831/2887 is
LCM of Numerators i.e. for 7337,5831 is 42782047
GCF of denominators i.e. for 895,2887 is 1.
Thus, LCM of Fractions is 42782047.Finally, LCM of Fractions for 7337/895, 5831/2887 is 42782047.