Least Common Multiple of 516/758, 1721/6816
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 516/758, 1721/6816 quickly i.e. 444018 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 516/758, 1721/6816 is 444018.
LCM(516/758, 1721/6816) = 444018
LCM of 516/758, 1721/6816
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 516/758,1721/6816
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 516,1721
Least Common Multiple of Numerators i.e. LCM of 516,1721 is 888036.
GCF of Denominators means GCF of 758,6816 as per the given fractions.
GCF of 758,6816 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 516,1721
LCM of Fractions 516/758,1721/6816 is 444018
Given numbers has no common factors except 1. So, there LCM is their product i.e 888036
Least Common Multiple of 516,1721 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 516,1721 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(516,1721) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(516,1721) x common factors =1 x 1 = 1
LCM(516,1721) = ( 516 × 1721 ) / 1
LCM(516,1721) = 888036 / 1
LCM(516,1721) = 888036
Lets's calculate GCF of 758,6816
| 2 | 758, 6816 |
| 379, 3408 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 888036/2
Therefore the LCM of Fractions 516/758,1721/6816 is 444018