Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 879/220, 193/597, 939/791 quickly i.e. 53099511 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 879/220, 193/597, 939/791 is 53099511.
LCM(879/220, 193/597, 939/791) = 53099511
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 879/220,193/597,939/791
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 879,193,939
Least Common Multiple of Numerators i.e. LCM of 879,193,939 is 53099511.
GCF of Denominators means GCF of 220,597,791 as per the given fractions.
GCF of 220,597,791 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 879,193,939
3 | 879, 193, 939 |
293, 193, 313 |
∴ So the LCM of the given numbers is 3 x 293 x 193 x 313 = 53099511
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 879,193,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(879,193,939) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(879,193,939) x common factors =1 x 3 = 3
LCM(879,193,939) = ( 879 × 193 × 939 ) / 3
LCM(879,193,939) = 159298533 / 3
LCM(879,193,939) = 53099511
Lets's calculate GCF of 220,597,791
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53099511/1
Therefore the LCM of Fractions 879/220,193/597,939/791 is 53099511
Factors of 220
List of positive integer factors of 220 that divides 220 without a remainder.
1,2,4,5,10,11,20,22,44,55,110,220
Factors of 597
List of positive integer factors of 597 that divides 597 without a remainder.
1,3,199,597
Factors of 791
List of positive integer factors of 791 that divides 791 without a remainder.
1,7,113,791
Greatest Common Factor
We found the factors 220,597,791 . The biggest common factor number is the GCF number.
So the greatest common factor 220,597,791 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 879/220, 193/597, 939/791?
Answer: LCM of Numerators as per given numbers 879/220, 193/597, 939/791 is
LCM of Numerators i.e. for 879,193,939 is 53099511
GCF of denominators i.e. for 220,597,791 is 1.
Thus, LCM of Fractions is 53099511.Finally, LCM of Fractions for 879/220, 193/597, 939/791 is 53099511.