Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5803/244, 9515/9249 quickly i.e. 55215545 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5803/244, 9515/9249 is 55215545.
LCM(5803/244, 9515/9249) = 55215545
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5803/244,9515/9249
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 5803,9515
Least Common Multiple of Numerators i.e. LCM of 5803,9515 is 55215545.
GCF of Denominators means GCF of 244,9249 as per the given fractions.
GCF of 244,9249 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5803,9515
Given numbers has no common factors except 1. So, there LCM is their product i.e 55215545
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 5803,9515 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5803,9515) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5803,9515) x common factors =1 x 1 = 1
LCM(5803,9515) = ( 5803 × 9515 ) / 1
LCM(5803,9515) = 55215545 / 1
LCM(5803,9515) = 55215545
Lets's calculate GCF of 244,9249
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55215545/1
Therefore the LCM of Fractions 5803/244,9515/9249 is 55215545
Factors of 244
List of positive integer factors of 244 that divides 244 without a remainder.
1,2,4,61,122,244
Factors of 9249
List of positive integer factors of 9249 that divides 9249 without a remainder.
1,3,3083,9249
Greatest Common Factor
We found the factors 244,9249 . The biggest common factor number is the GCF number.
So the greatest common factor 244,9249 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 5803/244, 9515/9249?
Answer: LCM of Numerators as per given numbers 5803/244, 9515/9249 is
LCM of Numerators i.e. for 5803,9515 is 55215545
GCF of denominators i.e. for 244,9249 is 1.
Thus, LCM of Fractions is 55215545.Finally, LCM of Fractions for 5803/244, 9515/9249 is 55215545.