
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
Let $M$ be the least common multiple of all the integers from 12 through 25. Let $N$ be the least common multiple of $M, 36, 38, 40, 42, 44,$ and $45$. What is the value of $\frac{N}{M}$?
A) 1
B) 2
C) 5
D) 44
E) 17

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