Amp draw of multiple chains of LEDs
Lets look at your setup with voltage vectors..







simulate this circuit &ndash; Schematic created using CircuitLab

Since, NOMINALLY, you have three 3.8V forward voltage drops in your chain, that leaves only 0.6V remaining from the original 12V across your resistor. The current in the chain is therefore 18.182mA.  That current is common to the entire chain.

If you have N chains the same in parallel the total current will be N times 18.182mA.

HOWEVER:

This simple math does not take into account any variance in the forward voltage of the LEDs or any variance in the supply voltage. Further, the forward voltages will change with temperature.

The forward voltage of LEDS can vary significantly. If the forward voltage is one single point less at 3.7V the current will be 27mA, If it drops to 3.5V the current will be 45mA... and on and on. 

That variance can mean your actual LEDs may burn out, or have a short life with this setup.

LED strings are best driven with a constant current source, not a voltage source. If that is beyond your capabilities I suggest you reduce your strings to two LEDs per string and use a larger resistor, 220R,  to soak up the variance in the LEDs.