Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 233/86, 989/5781 quickly i.e. 230437 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 233/86, 989/5781 is 230437.
LCM(233/86, 989/5781) = 230437
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 233/86,989/5781
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 233,989
Least Common Multiple of Numerators i.e. LCM of 233,989 is 230437.
GCF of Denominators means GCF of 86,5781 as per the given fractions.
GCF of 86,5781 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 233,989
Given numbers has no common factors except 1. So, there LCM is their product i.e 230437
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 233,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(233,989) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(233,989) x common factors =1 x 1 = 1
LCM(233,989) = ( 233 × 989 ) / 1
LCM(233,989) = 230437 / 1
LCM(233,989) = 230437
Lets's calculate GCF of 86,5781
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 230437/1
Therefore the LCM of Fractions 233/86,989/5781 is 230437
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 5781
List of positive integer factors of 5781 that divides 5781 without a remainder.
1,3,41,47,123,141,1927,5781
Greatest Common Factor
We found the factors 86,5781 . The biggest common factor number is the GCF number.
So the greatest common factor 86,5781 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 233/86, 989/5781?
Answer: LCM of Numerators as per given numbers 233/86, 989/5781 is
LCM of Numerators i.e. for 233,989 is 230437
GCF of denominators i.e. for 86,5781 is 1.
Thus, LCM of Fractions is 230437.Finally, LCM of Fractions for 233/86, 989/5781 is 230437.