Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8570/973, 4083/5813 quickly i.e. 34991310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8570/973, 4083/5813 is 34991310.
LCM(8570/973, 4083/5813) = 34991310
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8570/973,4083/5813
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 8570,4083
Least Common Multiple of Numerators i.e. LCM of 8570,4083 is 34991310.
GCF of Denominators means GCF of 973,5813 as per the given fractions.
GCF of 973,5813 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8570,4083
Given numbers has no common factors except 1. So, there LCM is their product i.e 34991310
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 8570,4083 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8570,4083) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8570,4083) x common factors =1 x 1 = 1
LCM(8570,4083) = ( 8570 × 4083 ) / 1
LCM(8570,4083) = 34991310 / 1
LCM(8570,4083) = 34991310
Lets's calculate GCF of 973,5813
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34991310/1
Therefore the LCM of Fractions 8570/973,4083/5813 is 34991310
Factors of 973
List of positive integer factors of 973 that divides 973 without a remainder.
1,7,139,973
Factors of 5813
List of positive integer factors of 5813 that divides 5813 without a remainder.
1,5813
Greatest Common Factor
We found the factors 973,5813 . The biggest common factor number is the GCF number.
So the greatest common factor 973,5813 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 8570/973, 4083/5813?
Answer: LCM of Numerators as per given numbers 8570/973, 4083/5813 is
LCM of Numerators i.e. for 8570,4083 is 34991310
GCF of denominators i.e. for 973,5813 is 1.
Thus, LCM of Fractions is 34991310.Finally, LCM of Fractions for 8570/973, 4083/5813 is 34991310.