Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 621/82, 915/2143 quickly i.e. 189405 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 621/82, 915/2143 is 189405.
LCM(621/82, 915/2143) = 189405
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 621/82,915/2143
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 621,915
Least Common Multiple of Numerators i.e. LCM of 621,915 is 189405.
GCF of Denominators means GCF of 82,2143 as per the given fractions.
GCF of 82,2143 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 621,915
3 | 621, 915 |
207, 305 |
∴ So the LCM of the given numbers is 3 x 207 x 305 = 189405
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 621,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(621,915) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(621,915) x common factors =3 x 1 = 3
LCM(621,915) = ( 621 × 915 ) / 3
LCM(621,915) = 568215 / 3
LCM(621,915) = 189405
Lets's calculate GCF of 82,2143
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 189405/1
Therefore the LCM of Fractions 621/82,915/2143 is 189405
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 2143
List of positive integer factors of 2143 that divides 2143 without a remainder.
1,2143
Greatest Common Factor
We found the factors 82,2143 . The biggest common factor number is the GCF number.
So the greatest common factor 82,2143 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 621/82, 915/2143?
Answer: LCM of Numerators as per given numbers 621/82, 915/2143 is
LCM of Numerators i.e. for 621,915 is 189405
GCF of denominators i.e. for 82,2143 is 1.
Thus, LCM of Fractions is 189405.Finally, LCM of Fractions for 621/82, 915/2143 is 189405.