Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4381/259, 8884/5292 quickly i.e. 38920804/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4381/259, 8884/5292 is 38920804/7.
LCM(4381/259, 8884/5292) = 38920804/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4381/259,8884/5292
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 4381,8884
Least Common Multiple of Numerators i.e. LCM of 4381,8884 is 38920804.
GCF of Denominators means GCF of 259,5292 as per the given fractions.
GCF of 259,5292 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4381,8884
Given numbers has no common factors except 1. So, there LCM is their product i.e 38920804
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 4381,8884 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4381,8884) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4381,8884) x common factors =1 x 1 = 1
LCM(4381,8884) = ( 4381 × 8884 ) / 1
LCM(4381,8884) = 38920804 / 1
LCM(4381,8884) = 38920804
Lets's calculate GCF of 259,5292
7 | 259, 5292 |
37, 756 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38920804/7
Therefore the LCM of Fractions 4381/259,8884/5292 is 38920804/7
Factors of 259
List of positive integer factors of 259 that divides 259 without a remainder.
1,7,37,259
Factors of 5292
List of positive integer factors of 5292 that divides 5292 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,49,54,63,84,98,108,126,147,189,196,252,294,378,441,588,756,882,1323,1764,2646,5292
Greatest Common Factor
We found the factors 259,5292 . The biggest common factor number is the GCF number.
So the greatest common factor 259,5292 is 7.
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 4381/259, 8884/5292?
Answer: LCM of Numerators as per given numbers 4381/259, 8884/5292 is
LCM of Numerators i.e. for 4381,8884 is 38920804
GCF of denominators i.e. for 259,5292 is 7.
Thus, LCM of Fractions is 38920804/7.Finally, LCM of Fractions for 4381/259, 8884/5292 is 38920804/7.