Why is Higgs Boson mass so small, compared to the Plank scale? The Large Extra Dimension (ADD/GOD) model tries to give an answer to this question, by explaining that is not the Higgs mass to be too small, but the Plank scale that we consider to be higher than his real value. This happens because of the presence of additional large highly curved dimensions, the volume of which is very big and causes the observed plank scale to be bigger than his real value, that should be around 1-10 TeV. In this case, deviations from the Standard Model expectations should be noticed at the Large Hadron Collider (LHC). In this work, I start with a review of the Higgs mass problem (chapter 1), then I briefly describe the Standard Model of Particle Physics (chapter 2) and the ADD/GOD model (chapter 3). In chapter 4 there is a short introduction to LHC and Hadron Colliders in general. In chapter 5 there is an introduction to the Monte-Carlo method to perform multi-dimensional integrations, and finally in chapter 6 I use LHC data to set new exclusion limits on the parameters of this theory.