Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 565/23, 941/7163 quickly i.e. 531665 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 565/23, 941/7163 is 531665.
LCM(565/23, 941/7163) = 531665
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 565/23,941/7163
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 565,941
Least Common Multiple of Numerators i.e. LCM of 565,941 is 531665.
GCF of Denominators means GCF of 23,7163 as per the given fractions.
GCF of 23,7163 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 565,941
Given numbers has no common factors except 1. So, there LCM is their product i.e 531665
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 565,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(565,941) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(565,941) x common factors =1 x 1 = 1
LCM(565,941) = ( 565 × 941 ) / 1
LCM(565,941) = 531665 / 1
LCM(565,941) = 531665
Lets's calculate GCF of 23,7163
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 531665/1
Therefore the LCM of Fractions 565/23,941/7163 is 531665
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 7163
List of positive integer factors of 7163 that divides 7163 without a remainder.
1,13,19,29,247,377,551,7163
Greatest Common Factor
We found the factors 23,7163 . The biggest common factor number is the GCF number.
So the greatest common factor 23,7163 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 565/23, 941/7163?
Answer: LCM of Numerators as per given numbers 565/23, 941/7163 is
LCM of Numerators i.e. for 565,941 is 531665
GCF of denominators i.e. for 23,7163 is 1.
Thus, LCM of Fractions is 531665.Finally, LCM of Fractions for 565/23, 941/7163 is 531665.