Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 11/594, 7949/1309 quickly i.e. 7949 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 11/594, 7949/1309 is 7949.
LCM(11/594, 7949/1309) = 7949
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 11/594,7949/1309
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 11,7949
Least Common Multiple of Numerators i.e. LCM of 11,7949 is 87439.
GCF of Denominators means GCF of 594,1309 as per the given fractions.
GCF of 594,1309 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 11,7949
Given numbers has no common factors except 1. So, there LCM is their product i.e 87439
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 11,7949 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,7949) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,7949) x common factors =1 x 1 = 1
LCM(11,7949) = ( 11 × 7949 ) / 1
LCM(11,7949) = 87439 / 1
LCM(11,7949) = 87439
Lets's calculate GCF of 594,1309
11 | 594, 1309 |
54, 119 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87439/11
Therefore the LCM of Fractions 11/594,7949/1309 is 7949
Factors of 594
List of positive integer factors of 594 that divides 594 without a remainder.
1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594
Factors of 1309
List of positive integer factors of 1309 that divides 1309 without a remainder.
1,7,11,17,77,119,187,1309
Greatest Common Factor
We found the factors 594,1309 . The biggest common factor number is the GCF number.
So the greatest common factor 594,1309 is 11.
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 11/594, 7949/1309?
Answer: LCM of Numerators as per given numbers 11/594, 7949/1309 is
LCM of Numerators i.e. for 11,7949 is 87439
GCF of denominators i.e. for 594,1309 is 11.
Thus, LCM of Fractions is 7949.Finally, LCM of Fractions for 11/594, 7949/1309 is 7949.