Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 671/213, 2133/6831 quickly i.e. 477081 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 671/213, 2133/6831 is 477081.
LCM(671/213, 2133/6831) = 477081
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 671/213,2133/6831
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 671,2133
Least Common Multiple of Numerators i.e. LCM of 671,2133 is 1431243.
GCF of Denominators means GCF of 213,6831 as per the given fractions.
GCF of 213,6831 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 671,2133
Given numbers has no common factors except 1. So, there LCM is their product i.e 1431243
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 671,2133 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(671,2133) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(671,2133) x common factors =1 x 1 = 1
LCM(671,2133) = ( 671 × 2133 ) / 1
LCM(671,2133) = 1431243 / 1
LCM(671,2133) = 1431243
Lets's calculate GCF of 213,6831
3 | 213, 6831 |
71, 2277 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1431243/3
Therefore the LCM of Fractions 671/213,2133/6831 is 477081
Factors of 213
List of positive integer factors of 213 that divides 213 without a remainder.
1,3,71,213
Factors of 6831
List of positive integer factors of 6831 that divides 6831 without a remainder.
1,3,9,11,23,27,33,69,99,207,253,297,621,759,2277,6831
Greatest Common Factor
We found the factors 213,6831 . The biggest common factor number is the GCF number.
So the greatest common factor 213,6831 is 3.
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 671/213, 2133/6831?
Answer: LCM of Numerators as per given numbers 671/213, 2133/6831 is
LCM of Numerators i.e. for 671,2133 is 1431243
GCF of denominators i.e. for 213,6831 is 3.
Thus, LCM of Fractions is 477081.Finally, LCM of Fractions for 671/213, 2133/6831 is 477081.