
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
Three cyclists started simultaneously and in the same direction from the same point on a circular track. The first cyclist completes the track in 5 minutes, the second in 7 minutes, and the third in 9 minutes. After how much minimum time will all the cyclists meet again at the starting point if all their speeds are constant?

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