Least Common Multiple of 502/71, 6185/693
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 502/71, 6185/693 quickly i.e. 3104870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 502/71, 6185/693 is 3104870.
LCM(502/71, 6185/693) = 3104870
LCM of 502/71, 6185/693
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 502/71,6185/693
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 502,6185
Least Common Multiple of Numerators i.e. LCM of 502,6185 is 3104870.
GCF of Denominators means GCF of 71,693 as per the given fractions.
GCF of 71,693 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 502,6185
LCM of Fractions 502/71,6185/693 is 3104870
Given numbers has no common factors except 1. So, there LCM is their product i.e 3104870
Least Common Multiple of 502,6185 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 502,6185 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(502,6185) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(502,6185) x common factors =1 x 1 = 1
LCM(502,6185) = ( 502 × 6185 ) / 1
LCM(502,6185) = 3104870 / 1
LCM(502,6185) = 3104870
Lets's calculate GCF of 71,693
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3104870/1
Therefore the LCM of Fractions 502/71,6185/693 is 3104870