Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 259/826, 204/538, 556/530 quickly i.e. 3672102 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 259/826, 204/538, 556/530 is 3672102.
LCM(259/826, 204/538, 556/530) = 3672102
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 259/826,204/538,556/530
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 259,204,556
Least Common Multiple of Numerators i.e. LCM of 259,204,556 is 7344204.
GCF of Denominators means GCF of 826,538,530 as per the given fractions.
GCF of 826,538,530 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 259,204,556
2 | 259, 204, 556 |
2 | 259, 102, 278 |
259, 51, 139 |
∴ So the LCM of the given numbers is 2 x 2 x 259 x 51 x 139 = 7344204
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 259,204,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(259,204,556) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(259,204,556) x common factors =1 x 4 = 4
LCM(259,204,556) = ( 259 × 204 × 556 ) / 4
LCM(259,204,556) = 29376816 / 4
LCM(259,204,556) = 7344204
Lets's calculate GCF of 826,538,530
2 | 826, 538, 530 |
413, 269, 265 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7344204/2
Therefore the LCM of Fractions 259/826,204/538,556/530 is 3672102
Factors of 826
List of positive integer factors of 826 that divides 826 without a remainder.
1,2,7,14,59,118,413,826
Factors of 538
List of positive integer factors of 538 that divides 538 without a remainder.
1,2,269,538
Factors of 530
List of positive integer factors of 530 that divides 530 without a remainder.
1,2,5,10,53,106,265,530
Greatest Common Factor
We found the factors 826,538,530 . The biggest common factor number is the GCF number.
So the greatest common factor 826,538,530 is 2.
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 259/826, 204/538, 556/530?
Answer: LCM of Numerators as per given numbers 259/826, 204/538, 556/530 is
LCM of Numerators i.e. for 259,204,556 is 7344204
GCF of denominators i.e. for 826,538,530 is 2.
Thus, LCM of Fractions is 3672102.Finally, LCM of Fractions for 259/826, 204/538, 556/530 is 3672102.