Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5595/244, 3822/4561 quickly i.e. 7128030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5595/244, 3822/4561 is 7128030.
LCM(5595/244, 3822/4561) = 7128030
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5595/244,3822/4561
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 5595,3822
Least Common Multiple of Numerators i.e. LCM of 5595,3822 is 7128030.
GCF of Denominators means GCF of 244,4561 as per the given fractions.
GCF of 244,4561 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5595,3822
3 | 5595, 3822 |
1865, 1274 |
∴ So the LCM of the given numbers is 3 x 1865 x 1274 = 7128030
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 5595,3822 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5595,3822) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(5595,3822) x common factors =3 x 1 = 3
LCM(5595,3822) = ( 5595 × 3822 ) / 3
LCM(5595,3822) = 21384090 / 3
LCM(5595,3822) = 7128030
Lets's calculate GCF of 244,4561
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7128030/1
Therefore the LCM of Fractions 5595/244,3822/4561 is 7128030
Factors of 244
List of positive integer factors of 244 that divides 244 without a remainder.
1,2,4,61,122,244
Factors of 4561
List of positive integer factors of 4561 that divides 4561 without a remainder.
1,4561
Greatest Common Factor
We found the factors 244,4561 . The biggest common factor number is the GCF number.
So the greatest common factor 244,4561 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 5595/244, 3822/4561?
Answer: LCM of Numerators as per given numbers 5595/244, 3822/4561 is
LCM of Numerators i.e. for 5595,3822 is 7128030
GCF of denominators i.e. for 244,4561 is 1.
Thus, LCM of Fractions is 7128030.Finally, LCM of Fractions for 5595/244, 3822/4561 is 7128030.