Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2457/27, 1626/903 quickly i.e. 443898 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2457/27, 1626/903 is 443898.
LCM(2457/27, 1626/903) = 443898
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2457/27,1626/903
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 2457,1626
Least Common Multiple of Numerators i.e. LCM of 2457,1626 is 1331694.
GCF of Denominators means GCF of 27,903 as per the given fractions.
GCF of 27,903 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2457,1626
3 | 2457, 1626 |
819, 542 |
∴ So the LCM of the given numbers is 3 x 819 x 542 = 1331694
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 2457,1626 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2457,1626) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(2457,1626) x common factors =3 x 1 = 3
LCM(2457,1626) = ( 2457 × 1626 ) / 3
LCM(2457,1626) = 3995082 / 3
LCM(2457,1626) = 1331694
Lets's calculate GCF of 27,903
3 | 27, 903 |
9, 301 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1331694/3
Therefore the LCM of Fractions 2457/27,1626/903 is 443898
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 903
List of positive integer factors of 903 that divides 903 without a remainder.
1,3,7,21,43,129,301,903
Greatest Common Factor
We found the factors 27,903 . The biggest common factor number is the GCF number.
So the greatest common factor 27,903 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 2457/27, 1626/903?
Answer: LCM of Numerators as per given numbers 2457/27, 1626/903 is
LCM of Numerators i.e. for 2457,1626 is 1331694
GCF of denominators i.e. for 27,903 is 3.
Thus, LCM of Fractions is 443898.Finally, LCM of Fractions for 2457/27, 1626/903 is 443898.