
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given \(a, b, c \in \mathbf{Z}_{+}\), \([a, b] = 12\) and \([b, c] = 15\), find the minimum possible value of \([a, c]\).

Present the answer in LaTex format: \boxed{Your answer}
user