Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2611/538, 3713/6986 quickly i.e. 9694643/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2611/538, 3713/6986 is 9694643/2.
LCM(2611/538, 3713/6986) = 9694643/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2611/538,3713/6986
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 2611,3713
Least Common Multiple of Numerators i.e. LCM of 2611,3713 is 9694643.
GCF of Denominators means GCF of 538,6986 as per the given fractions.
GCF of 538,6986 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2611,3713
Given numbers has no common factors except 1. So, there LCM is their product i.e 9694643
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 2611,3713 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2611,3713) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2611,3713) x common factors =1 x 1 = 1
LCM(2611,3713) = ( 2611 × 3713 ) / 1
LCM(2611,3713) = 9694643 / 1
LCM(2611,3713) = 9694643
Lets's calculate GCF of 538,6986
2 | 538, 6986 |
269, 3493 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9694643/2
Therefore the LCM of Fractions 2611/538,3713/6986 is 9694643/2
Factors of 538
List of positive integer factors of 538 that divides 538 without a remainder.
1,2,269,538
Factors of 6986
List of positive integer factors of 6986 that divides 6986 without a remainder.
1,2,7,14,499,998,3493,6986
Greatest Common Factor
We found the factors 538,6986 . The biggest common factor number is the GCF number.
So the greatest common factor 538,6986 is 2.
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 2611/538, 3713/6986?
Answer: LCM of Numerators as per given numbers 2611/538, 3713/6986 is
LCM of Numerators i.e. for 2611,3713 is 9694643
GCF of denominators i.e. for 538,6986 is 2.
Thus, LCM of Fractions is 9694643/2.Finally, LCM of Fractions for 2611/538, 3713/6986 is 9694643/2.