The magnitude of the CKM matrix element $V_{\rm ub}$ is determined by measuring the inclusive charmless semileptonic branching fraction of beauty hadrons at OPAL based on $\rm b\rightarrow X_u\ell\nu$ event topology and kinematics. This analysis uses OPAL data collected between 1991 and 1995, which correspond to about four million hadronic Z decays. We measure $\rm Br(b\rightarrow X_u\ell\nu)$ to be $(1.63\pm 0.53^{+0.55}_{-0.62})\times 10^{-3}$. The first uncertainty is the statistical error and the second is the systematic error. From this analysis, $|V_{\rm ub}|$ is determined to be: $$ \rm |V_{ub}|=(4.00\pm 0.65 (stat) ^{+0.67}_{-0.76} (sys) \pm 0.19 (HQE)) \times 10^{-3} . $$ The last error represents the theortical uncertainties related to the extraction of $\rm |V_{ub}|$ from $\rm Br(b\rightarrow X_u\ell\nu)$ using the Heavy Quark Expansion.