Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 866/593, 344/529, 458/652 quickly i.e. 34110008 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 866/593, 344/529, 458/652 is 34110008.
LCM(866/593, 344/529, 458/652) = 34110008
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 866/593,344/529,458/652
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 866,344,458
Least Common Multiple of Numerators i.e. LCM of 866,344,458 is 34110008.
GCF of Denominators means GCF of 593,529,652 as per the given fractions.
GCF of 593,529,652 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 866,344,458
2 | 866, 344, 458 |
433, 172, 229 |
∴ So the LCM of the given numbers is 2 x 433 x 172 x 229 = 34110008
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 866,344,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(866,344,458) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(866,344,458) x common factors =2 x 2 = 4
LCM(866,344,458) = ( 866 × 344 × 458 ) / 4
LCM(866,344,458) = 136440032 / 4
LCM(866,344,458) = 34110008
Lets's calculate GCF of 593,529,652
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34110008/1
Therefore the LCM of Fractions 866/593,344/529,458/652 is 34110008
Factors of 593
List of positive integer factors of 593 that divides 593 without a remainder.
1,593
Factors of 529
List of positive integer factors of 529 that divides 529 without a remainder.
1,23,529
Factors of 652
List of positive integer factors of 652 that divides 652 without a remainder.
1,2,4,163,326,652
Greatest Common Factor
We found the factors 593,529,652 . The biggest common factor number is the GCF number.
So the greatest common factor 593,529,652 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 866/593, 344/529, 458/652?
Answer: LCM of Numerators as per given numbers 866/593, 344/529, 458/652 is
LCM of Numerators i.e. for 866,344,458 is 34110008
GCF of denominators i.e. for 593,529,652 is 1.
Thus, LCM of Fractions is 34110008.Finally, LCM of Fractions for 866/593, 344/529, 458/652 is 34110008.