Least Common Multiple of 33/9, 46/73, 19/42
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 33/9, 46/73, 19/42 quickly i.e. 28842 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 33/9, 46/73, 19/42 is 28842.
LCM(33/9, 46/73, 19/42) = 28842
LCM of 33/9, 46/73, 19/42
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 33/9,46/73,19/42
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 33,46,19
Least Common Multiple of Numerators i.e. LCM of 33,46,19 is 28842.
GCF of Denominators means GCF of 9,73,42 as per the given fractions.
GCF of 9,73,42 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 33,46,19
LCM of Fractions 33/9,46/73,19/42 is 28842
Given numbers has no common factors except 1. So, there LCM is their product i.e 28842
Least Common Multiple of 33,46,19 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 33,46,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,46,19) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(33,46,19) x common factors =1 x 1 = 1
LCM(33,46,19) = ( 33 × 46 × 19 ) / 1
LCM(33,46,19) = 28842 / 1
LCM(33,46,19) = 28842
Lets's calculate GCF of 9,73,42
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28842/1
Therefore the LCM of Fractions 33/9,46/73,19/42 is 28842