Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 82/621, 31/836, 589/803 quickly i.e. 48298 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 82/621, 31/836, 589/803 is 48298.
LCM(82/621, 31/836, 589/803) = 48298
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 82/621,31/836,589/803
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 82,31,589
Least Common Multiple of Numerators i.e. LCM of 82,31,589 is 48298.
GCF of Denominators means GCF of 621,836,803 as per the given fractions.
GCF of 621,836,803 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 82,31,589
31 | 82, 31, 589 |
82, 1, 19 |
∴ So the LCM of the given numbers is 31 x 82 x 1 x 19 = 48298
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 82,31,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,31,589) = 1
common factors(in case of two or more numbers have common factors) = 31
GCF(82,31,589) x common factors =1 x 31 = 31
LCM(82,31,589) = ( 82 × 31 × 589 ) / 31
LCM(82,31,589) = 1497238 / 31
LCM(82,31,589) = 48298
Lets's calculate GCF of 621,836,803
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48298/1
Therefore the LCM of Fractions 82/621,31/836,589/803 is 48298
Factors of 621
List of positive integer factors of 621 that divides 621 without a remainder.
1,3,9,23,27,69,207,621
Factors of 836
List of positive integer factors of 836 that divides 836 without a remainder.
1,2,4,11,19,22,38,44,76,209,418,836
Factors of 803
List of positive integer factors of 803 that divides 803 without a remainder.
1,11,73,803
Greatest Common Factor
We found the factors 621,836,803 . The biggest common factor number is the GCF number.
So the greatest common factor 621,836,803 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 82/621, 31/836, 589/803?
Answer: LCM of Numerators as per given numbers 82/621, 31/836, 589/803 is
LCM of Numerators i.e. for 82,31,589 is 48298
GCF of denominators i.e. for 621,836,803 is 1.
Thus, LCM of Fractions is 48298.Finally, LCM of Fractions for 82/621, 31/836, 589/803 is 48298.