Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3413/657, 2887/5866 quickly i.e. 9853331 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3413/657, 2887/5866 is 9853331.
LCM(3413/657, 2887/5866) = 9853331
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3413/657,2887/5866
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 3413,2887
Least Common Multiple of Numerators i.e. LCM of 3413,2887 is 9853331.
GCF of Denominators means GCF of 657,5866 as per the given fractions.
GCF of 657,5866 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3413,2887
Given numbers has no common factors except 1. So, there LCM is their product i.e 9853331
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 3413,2887 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3413,2887) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3413,2887) x common factors =1 x 1 = 1
LCM(3413,2887) = ( 3413 × 2887 ) / 1
LCM(3413,2887) = 9853331 / 1
LCM(3413,2887) = 9853331
Lets's calculate GCF of 657,5866
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9853331/1
Therefore the LCM of Fractions 3413/657,2887/5866 is 9853331
Factors of 657
List of positive integer factors of 657 that divides 657 without a remainder.
1,3,9,73,219,657
Factors of 5866
List of positive integer factors of 5866 that divides 5866 without a remainder.
1,2,7,14,419,838,2933,5866
Greatest Common Factor
We found the factors 657,5866 . The biggest common factor number is the GCF number.
So the greatest common factor 657,5866 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 3413/657, 2887/5866?
Answer: LCM of Numerators as per given numbers 3413/657, 2887/5866 is
LCM of Numerators i.e. for 3413,2887 is 9853331
GCF of denominators i.e. for 657,5866 is 1.
Thus, LCM of Fractions is 9853331.Finally, LCM of Fractions for 3413/657, 2887/5866 is 9853331.