Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 659/232, 333/200, 863/791 quickly i.e. 189382761 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 659/232, 333/200, 863/791 is 189382761.
LCM(659/232, 333/200, 863/791) = 189382761
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 659/232,333/200,863/791
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 659,333,863
Least Common Multiple of Numerators i.e. LCM of 659,333,863 is 189382761.
GCF of Denominators means GCF of 232,200,791 as per the given fractions.
GCF of 232,200,791 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 659,333,863
Given numbers has no common factors except 1. So, there LCM is their product i.e 189382761
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 659,333,863 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(659,333,863) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(659,333,863) x common factors =1 x 1 = 1
LCM(659,333,863) = ( 659 × 333 × 863 ) / 1
LCM(659,333,863) = 189382761 / 1
LCM(659,333,863) = 189382761
Lets's calculate GCF of 232,200,791
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 189382761/1
Therefore the LCM of Fractions 659/232,333/200,863/791 is 189382761
Factors of 232
List of positive integer factors of 232 that divides 232 without a remainder.
1,2,4,8,29,58,116,232
Factors of 200
List of positive integer factors of 200 that divides 200 without a remainder.
1,2,4,5,8,10,20,25,40,50,100,200
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 232,200,791 . The biggest common factor number is the GCF number.
So the greatest common factor 232,200,791 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 659/232, 333/200, 863/791?
Answer: LCM of Numerators as per given numbers 659/232, 333/200, 863/791 is
LCM of Numerators i.e. for 659,333,863 is 189382761
GCF of denominators i.e. for 232,200,791 is 1.
Thus, LCM of Fractions is 189382761.Finally, LCM of Fractions for 659/232, 333/200, 863/791 is 189382761.