Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 33/524, 961/384, 824/903 quickly i.e. 26131512 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 33/524, 961/384, 824/903 is 26131512.
LCM(33/524, 961/384, 824/903) = 26131512
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 33/524,961/384,824/903
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 33,961,824
Least Common Multiple of Numerators i.e. LCM of 33,961,824 is 26131512.
GCF of Denominators means GCF of 524,384,903 as per the given fractions.
GCF of 524,384,903 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 33,961,824
Given numbers has no common factors except 1. So, there LCM is their product i.e 26131512
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 33,961,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,961,824) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(33,961,824) x common factors =1 x 1 = 1
LCM(33,961,824) = ( 33 × 961 × 824 ) / 1
LCM(33,961,824) = 26131512 / 1
LCM(33,961,824) = 26131512
Lets's calculate GCF of 524,384,903
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26131512/1
Therefore the LCM of Fractions 33/524,961/384,824/903 is 26131512
Factors of 524
List of positive integer factors of 524 that divides 524 without a remainder.
1,2,4,131,262,524
Factors of 384
List of positive integer factors of 384 that divides 384 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384
Factors of 903
List of positive integer factors of 903 that divides 903 without a remainder.
1,3,7,21,43,129,301,903
Greatest Common Factor
We found the factors 524,384,903 . The biggest common factor number is the GCF number.
So the greatest common factor 524,384,903 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 33/524, 961/384, 824/903?
Answer: LCM of Numerators as per given numbers 33/524, 961/384, 824/903 is
LCM of Numerators i.e. for 33,961,824 is 26131512
GCF of denominators i.e. for 524,384,903 is 1.
Thus, LCM of Fractions is 26131512.Finally, LCM of Fractions for 33/524, 961/384, 824/903 is 26131512.