Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 54/481, 7939/2239 quickly i.e. 428706 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 54/481, 7939/2239 is 428706.
LCM(54/481, 7939/2239) = 428706
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 54/481,7939/2239
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 54,7939
Least Common Multiple of Numerators i.e. LCM of 54,7939 is 428706.
GCF of Denominators means GCF of 481,2239 as per the given fractions.
GCF of 481,2239 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 54,7939
Given numbers has no common factors except 1. So, there LCM is their product i.e 428706
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 54,7939 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,7939) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(54,7939) x common factors =1 x 1 = 1
LCM(54,7939) = ( 54 × 7939 ) / 1
LCM(54,7939) = 428706 / 1
LCM(54,7939) = 428706
Lets's calculate GCF of 481,2239
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 428706/1
Therefore the LCM of Fractions 54/481,7939/2239 is 428706
Factors of 481
List of positive integer factors of 481 that divides 481 without a remainder.
1,13,37,481
Factors of 2239
List of positive integer factors of 2239 that divides 2239 without a remainder.
1,2239
Greatest Common Factor
We found the factors 481,2239 . The biggest common factor number is the GCF number.
So the greatest common factor 481,2239 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 54/481, 7939/2239?
Answer: LCM of Numerators as per given numbers 54/481, 7939/2239 is
LCM of Numerators i.e. for 54,7939 is 428706
GCF of denominators i.e. for 481,2239 is 1.
Thus, LCM of Fractions is 428706.Finally, LCM of Fractions for 54/481, 7939/2239 is 428706.