Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 827/426, 5731/4427 quickly i.e. 4739537 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 827/426, 5731/4427 is 4739537.
LCM(827/426, 5731/4427) = 4739537
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 827/426,5731/4427
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 827,5731
Least Common Multiple of Numerators i.e. LCM of 827,5731 is 4739537.
GCF of Denominators means GCF of 426,4427 as per the given fractions.
GCF of 426,4427 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 827,5731
Given numbers has no common factors except 1. So, there LCM is their product i.e 4739537
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 827,5731 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,5731) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,5731) x common factors =1 x 1 = 1
LCM(827,5731) = ( 827 × 5731 ) / 1
LCM(827,5731) = 4739537 / 1
LCM(827,5731) = 4739537
Lets's calculate GCF of 426,4427
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4739537/1
Therefore the LCM of Fractions 827/426,5731/4427 is 4739537
Factors of 426
List of positive integer factors of 426 that divides 426 without a remainder.
1,2,3,6,71,142,213,426
Factors of 4427
List of positive integer factors of 4427 that divides 4427 without a remainder.
1,19,233,4427
Greatest Common Factor
We found the factors 426,4427 . The biggest common factor number is the GCF number.
So the greatest common factor 426,4427 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 827/426, 5731/4427?
Answer: LCM of Numerators as per given numbers 827/426, 5731/4427 is
LCM of Numerators i.e. for 827,5731 is 4739537
GCF of denominators i.e. for 426,4427 is 1.
Thus, LCM of Fractions is 4739537.Finally, LCM of Fractions for 827/426, 5731/4427 is 4739537.