Least Common Multiple of 206/920, 8387/641
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 206/920, 8387/641 quickly i.e. 1727722 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 206/920, 8387/641 is 1727722.
LCM(206/920, 8387/641) = 1727722
LCM of 206/920, 8387/641
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 206/920,8387/641
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 206,8387
Least Common Multiple of Numerators i.e. LCM of 206,8387 is 1727722.
GCF of Denominators means GCF of 920,641 as per the given fractions.
GCF of 920,641 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 206,8387
LCM of Fractions 206/920,8387/641 is 1727722
Given numbers has no common factors except 1. So, there LCM is their product i.e 1727722
Least Common Multiple of 206,8387 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 206,8387 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,8387) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(206,8387) x common factors =1 x 1 = 1
LCM(206,8387) = ( 206 × 8387 ) / 1
LCM(206,8387) = 1727722 / 1
LCM(206,8387) = 1727722
Lets's calculate GCF of 920,641
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1727722/1
Therefore the LCM of Fractions 206/920,8387/641 is 1727722