Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 233/59, 587/78, 866/260 quickly i.e. 118443686 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 233/59, 587/78, 866/260 is 118443686.
LCM(233/59, 587/78, 866/260) = 118443686
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 233/59,587/78,866/260
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 233,587,866
Least Common Multiple of Numerators i.e. LCM of 233,587,866 is 118443686.
GCF of Denominators means GCF of 59,78,260 as per the given fractions.
GCF of 59,78,260 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 233,587,866
Given numbers has no common factors except 1. So, there LCM is their product i.e 118443686
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 233,587,866 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(233,587,866) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(233,587,866) x common factors =1 x 1 = 1
LCM(233,587,866) = ( 233 × 587 × 866 ) / 1
LCM(233,587,866) = 118443686 / 1
LCM(233,587,866) = 118443686
Lets's calculate GCF of 59,78,260
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 118443686/1
Therefore the LCM of Fractions 233/59,587/78,866/260 is 118443686
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 260
List of positive integer factors of 260 that divides 260 without a remainder.
1,2,4,5,10,13,20,26,52,65,130,260
Greatest Common Factor
We found the factors 59,78,260 . The biggest common factor number is the GCF number.
So the greatest common factor 59,78,260 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 233/59, 587/78, 866/260?
Answer: LCM of Numerators as per given numbers 233/59, 587/78, 866/260 is
LCM of Numerators i.e. for 233,587,866 is 118443686
GCF of denominators i.e. for 59,78,260 is 1.
Thus, LCM of Fractions is 118443686.Finally, LCM of Fractions for 233/59, 587/78, 866/260 is 118443686.