Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 27/377, 9027/6838 quickly i.e. 27081/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 27/377, 9027/6838 is 27081/13.
LCM(27/377, 9027/6838) = 27081/13
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 27/377,9027/6838
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 27,9027
Least Common Multiple of Numerators i.e. LCM of 27,9027 is 27081.
GCF of Denominators means GCF of 377,6838 as per the given fractions.
GCF of 377,6838 is 13 as it is the largest common factor for these numbers.
Lets's calculate LCM of 27,9027
3 | 27, 9027 |
3 | 9, 3009 |
3, 1003 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 1003 = 27081
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 27,9027 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,9027) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(27,9027) x common factors =9 x 1 = 9
LCM(27,9027) = ( 27 × 9027 ) / 9
LCM(27,9027) = 243729 / 9
LCM(27,9027) = 27081
Lets's calculate GCF of 377,6838
13 | 377, 6838 |
29, 526 |
∴ So the GCF of the given numbers is 13 = 13
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27081/13
Therefore the LCM of Fractions 27/377,9027/6838 is 27081/13
Factors of 377
List of positive integer factors of 377 that divides 377 without a remainder.
1,13,29,377
Factors of 6838
List of positive integer factors of 6838 that divides 6838 without a remainder.
1,2,13,26,263,526,3419,6838
Greatest Common Factor
We found the factors 377,6838 . The biggest common factor number is the GCF number.
So the greatest common factor 377,6838 is 13.
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 27/377, 9027/6838?
Answer: LCM of Numerators as per given numbers 27/377, 9027/6838 is
LCM of Numerators i.e. for 27,9027 is 27081
GCF of denominators i.e. for 377,6838 is 13.
Thus, LCM of Fractions is 27081/13.Finally, LCM of Fractions for 27/377, 9027/6838 is 27081/13.