Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 116/63, 263/34, 939/576 quickly i.e. 28647012 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 116/63, 263/34, 939/576 is 28647012.
LCM(116/63, 263/34, 939/576) = 28647012
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 116/63,263/34,939/576
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 116,263,939
Least Common Multiple of Numerators i.e. LCM of 116,263,939 is 28647012.
GCF of Denominators means GCF of 63,34,576 as per the given fractions.
GCF of 63,34,576 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 116,263,939
Given numbers has no common factors except 1. So, there LCM is their product i.e 28647012
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 116,263,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(116,263,939) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(116,263,939) x common factors =1 x 1 = 1
LCM(116,263,939) = ( 116 × 263 × 939 ) / 1
LCM(116,263,939) = 28647012 / 1
LCM(116,263,939) = 28647012
Lets's calculate GCF of 63,34,576
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28647012/1
Therefore the LCM of Fractions 116/63,263/34,939/576 is 28647012
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 576
List of positive integer factors of 576 that divides 576 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576
Greatest Common Factor
We found the factors 63,34,576 . The biggest common factor number is the GCF number.
So the greatest common factor 63,34,576 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 116/63, 263/34, 939/576?
Answer: LCM of Numerators as per given numbers 116/63, 263/34, 939/576 is
LCM of Numerators i.e. for 116,263,939 is 28647012
GCF of denominators i.e. for 63,34,576 is 1.
Thus, LCM of Fractions is 28647012.Finally, LCM of Fractions for 116/63, 263/34, 939/576 is 28647012.