
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
There are 15 horses, named Horse 1 through Horse 15. Each Horse $k$ takes exactly $k$ minutes to complete one lap around a circular track. All horses start together at 0 minutes. Find the least time $T>0$ in minutes, such that **exactly** 7 of these horses are back at the starting point together. Compute the sum of the digits of $T$.
A) 2
B) 3
C) 4
D) 5
E) 6

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