Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 513/932, 593/533, 249/766 quickly i.e. 25249347 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 513/932, 593/533, 249/766 is 25249347.
LCM(513/932, 593/533, 249/766) = 25249347
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 513/932,593/533,249/766
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 513,593,249
Least Common Multiple of Numerators i.e. LCM of 513,593,249 is 25249347.
GCF of Denominators means GCF of 932,533,766 as per the given fractions.
GCF of 932,533,766 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 513,593,249
3 | 513, 593, 249 |
171, 593, 83 |
∴ So the LCM of the given numbers is 3 x 171 x 593 x 83 = 25249347
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 513,593,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(513,593,249) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(513,593,249) x common factors =1 x 3 = 3
LCM(513,593,249) = ( 513 × 593 × 249 ) / 3
LCM(513,593,249) = 75748041 / 3
LCM(513,593,249) = 25249347
Lets's calculate GCF of 932,533,766
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25249347/1
Therefore the LCM of Fractions 513/932,593/533,249/766 is 25249347
Factors of 932
List of positive integer factors of 932 that divides 932 without a remainder.
1,2,4,233,466,932
Factors of 533
List of positive integer factors of 533 that divides 533 without a remainder.
1,13,41,533
Factors of 766
List of positive integer factors of 766 that divides 766 without a remainder.
1,2,383,766
Greatest Common Factor
We found the factors 932,533,766 . The biggest common factor number is the GCF number.
So the greatest common factor 932,533,766 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 513/932, 593/533, 249/766?
Answer: LCM of Numerators as per given numbers 513/932, 593/533, 249/766 is
LCM of Numerators i.e. for 513,593,249 is 25249347
GCF of denominators i.e. for 932,533,766 is 1.
Thus, LCM of Fractions is 25249347.Finally, LCM of Fractions for 513/932, 593/533, 249/766 is 25249347.