Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 97/915, 6041/2571 quickly i.e. 585977/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 97/915, 6041/2571 is 585977/3.
LCM(97/915, 6041/2571) = 585977/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 97/915,6041/2571
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 97,6041
Least Common Multiple of Numerators i.e. LCM of 97,6041 is 585977.
GCF of Denominators means GCF of 915,2571 as per the given fractions.
GCF of 915,2571 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 97,6041
Given numbers has no common factors except 1. So, there LCM is their product i.e 585977
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 97,6041 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,6041) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,6041) x common factors =1 x 1 = 1
LCM(97,6041) = ( 97 × 6041 ) / 1
LCM(97,6041) = 585977 / 1
LCM(97,6041) = 585977
Lets's calculate GCF of 915,2571
3 | 915, 2571 |
305, 857 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 585977/3
Therefore the LCM of Fractions 97/915,6041/2571 is 585977/3
Factors of 915
List of positive integer factors of 915 that divides 915 without a remainder.
1,3,5,15,61,183,305,915
Factors of 2571
List of positive integer factors of 2571 that divides 2571 without a remainder.
1,3,857,2571
Greatest Common Factor
We found the factors 915,2571 . The biggest common factor number is the GCF number.
So the greatest common factor 915,2571 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 97/915, 6041/2571?
Answer: LCM of Numerators as per given numbers 97/915, 6041/2571 is
LCM of Numerators i.e. for 97,6041 is 585977
GCF of denominators i.e. for 915,2571 is 3.
Thus, LCM of Fractions is 585977/3.Finally, LCM of Fractions for 97/915, 6041/2571 is 585977/3.