Final answer:
The least number of pieces that can be obtained by cutting wires of lengths 30m, 36m, and 84m is 6.
Step-by-step explanation:
To find the least number of pieces obtained, we need to find the greatest common divisor (GCD) of the lengths of the three wires. The GCD of 30, 36, and 84 is 6. Therefore, cutting the wires into pieces of length 6m will result in the least number of pieces.