Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/408, 9205/2703 quickly i.e. 285355/51 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/408, 9205/2703 is 285355/51.
LCM(31/408, 9205/2703) = 285355/51
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/408,9205/2703
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 31,9205
Least Common Multiple of Numerators i.e. LCM of 31,9205 is 285355.
GCF of Denominators means GCF of 408,2703 as per the given fractions.
GCF of 408,2703 is 51 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,9205
Given numbers has no common factors except 1. So, there LCM is their product i.e 285355
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 31,9205 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,9205) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,9205) x common factors =1 x 1 = 1
LCM(31,9205) = ( 31 × 9205 ) / 1
LCM(31,9205) = 285355 / 1
LCM(31,9205) = 285355
Lets's calculate GCF of 408,2703
3 | 408, 2703 |
17 | 136, 901 |
8, 53 |
∴ So the GCF of the given numbers is 3 x 17 = 51
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 285355/51
Therefore the LCM of Fractions 31/408,9205/2703 is 285355/51
Factors of 408
List of positive integer factors of 408 that divides 408 without a remainder.
1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408
Factors of 2703
List of positive integer factors of 2703 that divides 2703 without a remainder.
1,3,17,51,53,159,901,2703
Greatest Common Factor
We found the factors 408,2703 . The biggest common factor number is the GCF number.
So the greatest common factor 408,2703 is 51.
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 31/408, 9205/2703?
Answer: LCM of Numerators as per given numbers 31/408, 9205/2703 is
LCM of Numerators i.e. for 31,9205 is 285355
GCF of denominators i.e. for 408,2703 is 51.
Thus, LCM of Fractions is 285355/51.Finally, LCM of Fractions for 31/408, 9205/2703 is 285355/51.