Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 97/591, 5882/2313 quickly i.e. 570554/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 97/591, 5882/2313 is 570554/3.
LCM(97/591, 5882/2313) = 570554/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 97/591,5882/2313
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 97,5882
Least Common Multiple of Numerators i.e. LCM of 97,5882 is 570554.
GCF of Denominators means GCF of 591,2313 as per the given fractions.
GCF of 591,2313 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 97,5882
Given numbers has no common factors except 1. So, there LCM is their product i.e 570554
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 97,5882 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,5882) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,5882) x common factors =1 x 1 = 1
LCM(97,5882) = ( 97 × 5882 ) / 1
LCM(97,5882) = 570554 / 1
LCM(97,5882) = 570554
Lets's calculate GCF of 591,2313
3 | 591, 2313 |
197, 771 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 570554/3
Therefore the LCM of Fractions 97/591,5882/2313 is 570554/3
Factors of 591
List of positive integer factors of 591 that divides 591 without a remainder.
1,3,197,591
Factors of 2313
List of positive integer factors of 2313 that divides 2313 without a remainder.
1,3,9,257,771,2313
Greatest Common Factor
We found the factors 591,2313 . The biggest common factor number is the GCF number.
So the greatest common factor 591,2313 is 3.
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 97/591, 5882/2313?
Answer: LCM of Numerators as per given numbers 97/591, 5882/2313 is
LCM of Numerators i.e. for 97,5882 is 570554
GCF of denominators i.e. for 591,2313 is 3.
Thus, LCM of Fractions is 570554/3.Finally, LCM of Fractions for 97/591, 5882/2313 is 570554/3.