See: http://en.wikipedia.org/wiki/JST_connector
Mind the reference links, you will find detailed descriptions of every JST connector there is. Maybe you find the correct type in the BOM for the electronics, most JST connectors have a 2-character series designator, like the XH series (very wide spread in RC electronics).
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Daid 306
JST is the name of the white connectors.
Note, there is still room on the 1.5.7 board for the older large connectors, so you could also remove the white connectors from the 1.5.7 board and solder in the bigger green connectors.
(1.5.3 electronics is quite rare, I've only seen a handful machines with electronics that old)
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