A checkerboard of $11$ rows and $15$ columns has a number written in each square, beginning in the upper left corner, so that the first row is numbered $1,2,\dots ,15$, the second row $16,17,\dots ,30$, and so on down the board. If the board is renumbered so that the left column, top to bottom, is $1,2,\dots ,11$, the second column $12,13,\dots ,22$ and so on across the board, some squares have the same numbers in both numbering systems. Find the sum of the numbers in these squares (under either system).