Least Common Multiple of 4726/693, 1280/292
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4726/693, 1280/292 quickly i.e. 3024640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4726/693, 1280/292 is 3024640.
LCM(4726/693, 1280/292) = 3024640
LCM of 4726/693, 1280/292
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4726/693,1280/292
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 4726,1280
Least Common Multiple of Numerators i.e. LCM of 4726,1280 is 3024640.
GCF of Denominators means GCF of 693,292 as per the given fractions.
GCF of 693,292 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4726,1280
LCM of Fractions 4726/693,1280/292 is 3024640
| 2 | 4726, 1280 |
| 2363, 640 |
∴ So the LCM of the given numbers is 2 x 2363 x 640 = 3024640
Least Common Multiple of 4726,1280 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 4726,1280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4726,1280) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(4726,1280) x common factors =2 x 1 = 2
LCM(4726,1280) = ( 4726 × 1280 ) / 2
LCM(4726,1280) = 6049280 / 2
LCM(4726,1280) = 3024640
Lets's calculate GCF of 693,292
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3024640/1
Therefore the LCM of Fractions 4726/693,1280/292 is 3024640