Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5764/243, 5439/625 quickly i.e. 31350396 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5764/243, 5439/625 is 31350396.
LCM(5764/243, 5439/625) = 31350396
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5764/243,5439/625
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 5764,5439
Least Common Multiple of Numerators i.e. LCM of 5764,5439 is 31350396.
GCF of Denominators means GCF of 243,625 as per the given fractions.
GCF of 243,625 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5764,5439
Given numbers has no common factors except 1. So, there LCM is their product i.e 31350396
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 5764,5439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5764,5439) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5764,5439) x common factors =1 x 1 = 1
LCM(5764,5439) = ( 5764 × 5439 ) / 1
LCM(5764,5439) = 31350396 / 1
LCM(5764,5439) = 31350396
Lets's calculate GCF of 243,625
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31350396/1
Therefore the LCM of Fractions 5764/243,5439/625 is 31350396
Factors of 243
List of positive integer factors of 243 that divides 243 without a remainder.
1,3,9,27,81,243
Factors of 625
List of positive integer factors of 625 that divides 625 without a remainder.
1,5,25,125,625
Greatest Common Factor
We found the factors 243,625 . The biggest common factor number is the GCF number.
So the greatest common factor 243,625 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 5764/243, 5439/625?
Answer: LCM of Numerators as per given numbers 5764/243, 5439/625 is
LCM of Numerators i.e. for 5764,5439 is 31350396
GCF of denominators i.e. for 243,625 is 1.
Thus, LCM of Fractions is 31350396.Finally, LCM of Fractions for 5764/243, 5439/625 is 31350396.