Use row reduction to solve the system of equations.

Step-by-step explanation:

The given systems of equations is

The augmented matrix is

.

We perform the following row operations to reduce the matrix to reduced row echelon form using row 1 as our pivot row.

Next, we perform the following row operations using row 2 as our pivot row to obtain,

Next, we perform the following row operations using row 3 as our pivot row to get,

The matrix is now in the reduced row echelon form,

Therefore the solution is,

To solve the least common factor you need to find the lowest numbers that all three numbers can go into.  So for 32, 36, and 40.  You would have to multiply.  The final answer would be 1440.