Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 873/83, 104/44, 593/531 quickly i.e. 53839656 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 873/83, 104/44, 593/531 is 53839656.
LCM(873/83, 104/44, 593/531) = 53839656
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 873/83,104/44,593/531
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 873,104,593
Least Common Multiple of Numerators i.e. LCM of 873,104,593 is 53839656.
GCF of Denominators means GCF of 83,44,531 as per the given fractions.
GCF of 83,44,531 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 873,104,593
Given numbers has no common factors except 1. So, there LCM is their product i.e 53839656
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 873,104,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(873,104,593) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(873,104,593) x common factors =1 x 1 = 1
LCM(873,104,593) = ( 873 × 104 × 593 ) / 1
LCM(873,104,593) = 53839656 / 1
LCM(873,104,593) = 53839656
Lets's calculate GCF of 83,44,531
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53839656/1
Therefore the LCM of Fractions 873/83,104/44,593/531 is 53839656
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 531
List of positive integer factors of 531 that divides 531 without a remainder.
1,3,9,59,177,531
Greatest Common Factor
We found the factors 83,44,531 . The biggest common factor number is the GCF number.
So the greatest common factor 83,44,531 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 873/83, 104/44, 593/531?
Answer: LCM of Numerators as per given numbers 873/83, 104/44, 593/531 is
LCM of Numerators i.e. for 873,104,593 is 53839656
GCF of denominators i.e. for 83,44,531 is 1.
Thus, LCM of Fractions is 53839656.Finally, LCM of Fractions for 873/83, 104/44, 593/531 is 53839656.