In this work, the authors study locally conformally flat manifolds with prescribed curvature tensor. First they study the Euclidean case $M^n=\Bbb{R}^n$ and in this case the Riemann curvature tensor is given by $$ R_g=A_g\otimes g, $$ where $A_g$ is the Schouten tensor and $\otimes$ is the Kulkarni-Nomizu product. In this sense if $(M^n,g)$ is locally conformally flat we have $$ R=T\otimes g. $$ Then they find the metric $\overline{g}=\frac{1}{\varphi^2}g$ such that $\overline{R}=R$, where $\overline{R}$ is the Riemannian curvature tensor of the metric $\overline{g}$. They consider $M=\Bbb{R}^n$ with coordinates $x=(x_1,\ldots,x_n)$, $g_{ij}=\delta_{ij}$ and $T$ a diagonal $(0,2)$-tensor defined by $T=\sum_{i}f_i(x)dx_i^2$, where $f_i(x)$ are smooth functions. In this way they seek a solution to $$ \cases\overline{g}=\frac{1}{\varphi^2}g,\\ A_{\overline{g}}=\varphi^2T.\endcases $$ With the conformal change the system above is equivalent to $$ \cases\frac{\varphi_{x_ix_i}}{\varphi}-\frac{|\nabla_g\varphi|^2}{2\varphi^2}=\varphi^2f_i,&\forall\,i=1,\ldots, n,\\ \varphi_{x_ix_j}=0,&\forall\,i\neq j.\endcases\tag1 $$ With the hypothesis above and the condition $3f_i(x)+f_j(x)\neq0$ they find equivalent equations on the $f_i$ such that (1) is satisfied. \par Next, they study locally conformally flat manifolds using the results they find in the case of $\Bbb{R}^n$. Finally, they show some examples.