
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
Select several numbers from the numbers 1, 2, 3, ..., 20, so that for any two numbers chosen, their least common multiple is also among the selected numbers. What is the maximum number of numbers that can be selected?

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