Least Common Multiple of 896/226, 6786/3885
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 896/226, 6786/3885 quickly i.e. 3040128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 896/226, 6786/3885 is 3040128.
LCM(896/226, 6786/3885) = 3040128
LCM of 896/226, 6786/3885
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 896/226,6786/3885
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 896,6786
Least Common Multiple of Numerators i.e. LCM of 896,6786 is 3040128.
GCF of Denominators means GCF of 226,3885 as per the given fractions.
GCF of 226,3885 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 896,6786
LCM of Fractions 896/226,6786/3885 is 3040128
| 2 | 896, 6786 |
| 448, 3393 |
∴ So the LCM of the given numbers is 2 x 448 x 3393 = 3040128
Least Common Multiple of 896,6786 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 896,6786 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(896,6786) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(896,6786) x common factors =2 x 1 = 2
LCM(896,6786) = ( 896 × 6786 ) / 2
LCM(896,6786) = 6080256 / 2
LCM(896,6786) = 3040128
Lets's calculate GCF of 226,3885
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3040128/1
Therefore the LCM of Fractions 896/226,6786/3885 is 3040128