Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8591/716, 2633/923 quickly i.e. 22620103 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8591/716, 2633/923 is 22620103.
LCM(8591/716, 2633/923) = 22620103
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8591/716,2633/923
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 8591,2633
Least Common Multiple of Numerators i.e. LCM of 8591,2633 is 22620103.
GCF of Denominators means GCF of 716,923 as per the given fractions.
GCF of 716,923 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8591,2633
Given numbers has no common factors except 1. So, there LCM is their product i.e 22620103
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 8591,2633 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8591,2633) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8591,2633) x common factors =1 x 1 = 1
LCM(8591,2633) = ( 8591 × 2633 ) / 1
LCM(8591,2633) = 22620103 / 1
LCM(8591,2633) = 22620103
Lets's calculate GCF of 716,923
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22620103/1
Therefore the LCM of Fractions 8591/716,2633/923 is 22620103
Factors of 716
List of positive integer factors of 716 that divides 716 without a remainder.
1,2,4,179,358,716
Factors of 923
List of positive integer factors of 923 that divides 923 without a remainder.
1,13,71,923
Greatest Common Factor
We found the factors 716,923 . The biggest common factor number is the GCF number.
So the greatest common factor 716,923 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 8591/716, 2633/923?
Answer: LCM of Numerators as per given numbers 8591/716, 2633/923 is
LCM of Numerators i.e. for 8591,2633 is 22620103
GCF of denominators i.e. for 716,923 is 1.
Thus, LCM of Fractions is 22620103.Finally, LCM of Fractions for 8591/716, 2633/923 is 22620103.