Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2695/994, 6089/8713 quickly i.e. 16409855 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2695/994, 6089/8713 is 16409855.
LCM(2695/994, 6089/8713) = 16409855
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2695/994,6089/8713
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 2695,6089
Least Common Multiple of Numerators i.e. LCM of 2695,6089 is 16409855.
GCF of Denominators means GCF of 994,8713 as per the given fractions.
GCF of 994,8713 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2695,6089
Given numbers has no common factors except 1. So, there LCM is their product i.e 16409855
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 2695,6089 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2695,6089) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2695,6089) x common factors =1 x 1 = 1
LCM(2695,6089) = ( 2695 × 6089 ) / 1
LCM(2695,6089) = 16409855 / 1
LCM(2695,6089) = 16409855
Lets's calculate GCF of 994,8713
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16409855/1
Therefore the LCM of Fractions 2695/994,6089/8713 is 16409855
Factors of 994
List of positive integer factors of 994 that divides 994 without a remainder.
1,2,7,14,71,142,497,994
Factors of 8713
List of positive integer factors of 8713 that divides 8713 without a remainder.
1,8713
Greatest Common Factor
We found the factors 994,8713 . The biggest common factor number is the GCF number.
So the greatest common factor 994,8713 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 2695/994, 6089/8713?
Answer: LCM of Numerators as per given numbers 2695/994, 6089/8713 is
LCM of Numerators i.e. for 2695,6089 is 16409855
GCF of denominators i.e. for 994,8713 is 1.
Thus, LCM of Fractions is 16409855.Finally, LCM of Fractions for 2695/994, 6089/8713 is 16409855.