Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 82/481, 5849/3763 quickly i.e. 479618 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 82/481, 5849/3763 is 479618.
LCM(82/481, 5849/3763) = 479618
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 82/481,5849/3763
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 82,5849
Least Common Multiple of Numerators i.e. LCM of 82,5849 is 479618.
GCF of Denominators means GCF of 481,3763 as per the given fractions.
GCF of 481,3763 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 82,5849
Given numbers has no common factors except 1. So, there LCM is their product i.e 479618
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 82,5849 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,5849) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(82,5849) x common factors =1 x 1 = 1
LCM(82,5849) = ( 82 × 5849 ) / 1
LCM(82,5849) = 479618 / 1
LCM(82,5849) = 479618
Lets's calculate GCF of 481,3763
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 479618/1
Therefore the LCM of Fractions 82/481,5849/3763 is 479618
Factors of 481
List of positive integer factors of 481 that divides 481 without a remainder.
1,13,37,481
Factors of 3763
List of positive integer factors of 3763 that divides 3763 without a remainder.
1,53,71,3763
Greatest Common Factor
We found the factors 481,3763 . The biggest common factor number is the GCF number.
So the greatest common factor 481,3763 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 82/481, 5849/3763?
Answer: LCM of Numerators as per given numbers 82/481, 5849/3763 is
LCM of Numerators i.e. for 82,5849 is 479618
GCF of denominators i.e. for 481,3763 is 1.
Thus, LCM of Fractions is 479618.Finally, LCM of Fractions for 82/481, 5849/3763 is 479618.