Least Common Multiple of 57/603, 12/609
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 57/603, 12/609 quickly i.e. 76 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 57/603, 12/609 is 76.
LCM(57/603, 12/609) = 76
LCM of 57/603, 12/609
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 57/603,12/609
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 57,12
Least Common Multiple of Numerators i.e. LCM of 57,12 is 228.
GCF of Denominators means GCF of 603,609 as per the given fractions.
GCF of 603,609 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 57,12
LCM of Fractions 57/603,12/609 is 76
| 3 | 57, 12 |
| 19, 4 |
∴ So the LCM of the given numbers is 3 x 19 x 4 = 228
Least Common Multiple of 57,12 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 57,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,12) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(57,12) x common factors =3 x 1 = 3
LCM(57,12) = ( 57 × 12 ) / 3
LCM(57,12) = 684 / 3
LCM(57,12) = 228
Lets's calculate GCF of 603,609
| 3 | 603, 609 |
| 201, 203 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 228/3
Therefore the LCM of Fractions 57/603,12/609 is 76