
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
Determine the least common denominator for the sum $\frac{1}{3} + \frac{1}{4} + \frac{1}{6} + \frac{1}{8} + \frac{1}{9}$. This involves the least common multiple (LCM) of the denominators: $3, 4, 6, 8, 9$.
A) 36 
B) 48
C) 72 
D) 144
E) 180

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