Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 27/241, 6927/1137 quickly i.e. 62343 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 27/241, 6927/1137 is 62343.
LCM(27/241, 6927/1137) = 62343
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 27/241,6927/1137
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 27,6927
Least Common Multiple of Numerators i.e. LCM of 27,6927 is 62343.
GCF of Denominators means GCF of 241,1137 as per the given fractions.
GCF of 241,1137 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 27,6927
3 | 27, 6927 |
9, 2309 |
∴ So the LCM of the given numbers is 3 x 9 x 2309 = 62343
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 27,6927 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,6927) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(27,6927) x common factors =3 x 1 = 3
LCM(27,6927) = ( 27 × 6927 ) / 3
LCM(27,6927) = 187029 / 3
LCM(27,6927) = 62343
Lets's calculate GCF of 241,1137
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62343/1
Therefore the LCM of Fractions 27/241,6927/1137 is 62343
Factors of 241
List of positive integer factors of 241 that divides 241 without a remainder.
1,241
Factors of 1137
List of positive integer factors of 1137 that divides 1137 without a remainder.
1,3,379,1137
Greatest Common Factor
We found the factors 241,1137 . The biggest common factor number is the GCF number.
So the greatest common factor 241,1137 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 27/241, 6927/1137?
Answer: LCM of Numerators as per given numbers 27/241, 6927/1137 is
LCM of Numerators i.e. for 27,6927 is 62343
GCF of denominators i.e. for 241,1137 is 1.
Thus, LCM of Fractions is 62343.Finally, LCM of Fractions for 27/241, 6927/1137 is 62343.