Least Common Multiple of 683/255, 8772/1701
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 683/255, 8772/1701 quickly i.e. 1997092 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 683/255, 8772/1701 is 1997092.
LCM(683/255, 8772/1701) = 1997092
LCM of 683/255, 8772/1701
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 683/255,8772/1701
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 683,8772
Least Common Multiple of Numerators i.e. LCM of 683,8772 is 5991276.
GCF of Denominators means GCF of 255,1701 as per the given fractions.
GCF of 255,1701 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 683,8772
LCM of Fractions 683/255,8772/1701 is 1997092
Given numbers has no common factors except 1. So, there LCM is their product i.e 5991276
Least Common Multiple of 683,8772 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 683,8772 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(683,8772) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(683,8772) x common factors =1 x 1 = 1
LCM(683,8772) = ( 683 × 8772 ) / 1
LCM(683,8772) = 5991276 / 1
LCM(683,8772) = 5991276
Lets's calculate GCF of 255,1701
| 3 | 255, 1701 |
| 85, 567 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5991276/3
Therefore the LCM of Fractions 683/255,8772/1701 is 1997092