
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
Four friends—Carl, Jenna, Marco, and Leah—start jogging around a circular track at 9:00 AM. Carl completes a lap every 5 minutes, Jenna every 8 minutes, Marco every 9 minutes, and Leah every 10 minutes. Calculate the earliest time at which all four friends will meet again at the starting point.

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