Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7109/408, 9660/5771 quickly i.e. 68672940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7109/408, 9660/5771 is 68672940.
LCM(7109/408, 9660/5771) = 68672940
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7109/408,9660/5771
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 7109,9660
Least Common Multiple of Numerators i.e. LCM of 7109,9660 is 68672940.
GCF of Denominators means GCF of 408,5771 as per the given fractions.
GCF of 408,5771 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7109,9660
Given numbers has no common factors except 1. So, there LCM is their product i.e 68672940
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 7109,9660 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7109,9660) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7109,9660) x common factors =1 x 1 = 1
LCM(7109,9660) = ( 7109 × 9660 ) / 1
LCM(7109,9660) = 68672940 / 1
LCM(7109,9660) = 68672940
Lets's calculate GCF of 408,5771
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68672940/1
Therefore the LCM of Fractions 7109/408,9660/5771 is 68672940
Factors of 408
List of positive integer factors of 408 that divides 408 without a remainder.
1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408
Factors of 5771
List of positive integer factors of 5771 that divides 5771 without a remainder.
1,29,199,5771
Greatest Common Factor
We found the factors 408,5771 . The biggest common factor number is the GCF number.
So the greatest common factor 408,5771 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 7109/408, 9660/5771?
Answer: LCM of Numerators as per given numbers 7109/408, 9660/5771 is
LCM of Numerators i.e. for 7109,9660 is 68672940
GCF of denominators i.e. for 408,5771 is 1.
Thus, LCM of Fractions is 68672940.Finally, LCM of Fractions for 7109/408, 9660/5771 is 68672940.