Least Common Multiple of 322/784, 809/878
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 322/784, 809/878 quickly i.e. 130249 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 322/784, 809/878 is 130249.
LCM(322/784, 809/878) = 130249
LCM of 322/784, 809/878
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 322/784,809/878
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 322,809
Least Common Multiple of Numerators i.e. LCM of 322,809 is 260498.
GCF of Denominators means GCF of 784,878 as per the given fractions.
GCF of 784,878 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 322,809
LCM of Fractions 322/784,809/878 is 130249
Given numbers has no common factors except 1. So, there LCM is their product i.e 260498
Least Common Multiple of 322,809 with GCF Formula
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 322,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(322,809) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(322,809) x common factors =1 x 1 = 1
LCM(322,809) = ( 322 × 809 ) / 1
LCM(322,809) = 260498 / 1
LCM(322,809) = 260498
Lets's calculate GCF of 784,878
| 2 | 784, 878 |
| 392, 439 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 260498/2
Therefore the LCM of Fractions 322/784,809/878 is 130249