Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7821/590, 3858/578 quickly i.e. 5028903 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7821/590, 3858/578 is 5028903.
LCM(7821/590, 3858/578) = 5028903
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7821/590,3858/578
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 7821,3858
Least Common Multiple of Numerators i.e. LCM of 7821,3858 is 10057806.
GCF of Denominators means GCF of 590,578 as per the given fractions.
GCF of 590,578 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7821,3858
3 | 7821, 3858 |
2607, 1286 |
∴ So the LCM of the given numbers is 3 x 2607 x 1286 = 10057806
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 7821,3858 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7821,3858) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(7821,3858) x common factors =3 x 1 = 3
LCM(7821,3858) = ( 7821 × 3858 ) / 3
LCM(7821,3858) = 30173418 / 3
LCM(7821,3858) = 10057806
Lets's calculate GCF of 590,578
2 | 590, 578 |
295, 289 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10057806/2
Therefore the LCM of Fractions 7821/590,3858/578 is 5028903
Factors of 590
List of positive integer factors of 590 that divides 590 without a remainder.
1,2,5,10,59,118,295,590
Factors of 578
List of positive integer factors of 578 that divides 578 without a remainder.
1,2,17,34,289,578
Greatest Common Factor
We found the factors 590,578 . The biggest common factor number is the GCF number.
So the greatest common factor 590,578 is 2.
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 7821/590, 3858/578?
Answer: LCM of Numerators as per given numbers 7821/590, 3858/578 is
LCM of Numerators i.e. for 7821,3858 is 10057806
GCF of denominators i.e. for 590,578 is 2.
Thus, LCM of Fractions is 5028903.Finally, LCM of Fractions for 7821/590, 3858/578 is 5028903.