No, current doesn't double from the driver - it is cut in half. So if the driver gives 700mA, each LED string, if voltage matches exactly, will receive 350mA.
My point is make sure the driver has enough amperage to drive the total mA of the strings paralled to driver.
3 strings @ 700mA is 2100mA total or 3 strings @ 350mA is 1050mA total.
Taken from this site... http://www.astrodynetdi.com/power_supplies/guides/led-drivers/faq/
Series
Perhaps the simplest configuration is to connect all of the LEDs in series, the anode of the second LED connected to the cathode of the first. A single, constant current source can then illuminate the entire string. This works very well with a limited number of LEDs in the string. However, as the string voltage is proportional to the number of LEDs in the string, long strings can generate rather high voltages. Assuming a forward voltage of 3.5V, a string of 24 LEDs would generate a voltage of about 84V. If any given LED fails short, there is limited impact on the operation of the lamp. However, if any LED fails open, the entire lamp will fail. Despite the high voltage, this is perhaps the most energy efficient way to power a lamp.
Parallel Strings
In order to minimize the operating voltage, multiple strings can be connected in parallel. Using the same 24 LEDs, one could form four series strings of six LEDs each and then connect these strings in parallel. The total voltage would now be only about 21V but it would require four times as much current to power the lamp. If any given LED failed open, one of the strings would fail but the other strings would remain lit. If any LED failed short, that string would carry much more current than the remaining strings. These situations will likely result in lower reliability as the remaining LEDs in the string with the failed LED are subject to significantly increased stress.
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