# LCM equals Factorial

Find the sum of all natural numbers $$n$$ such that

$\text{lcm}(1,2,3,\ldots, n) = n!$

Notations:

• $$\text{lcm}(\cdot)$$ denotes the lowest common multiple function.
• $$!$$ is the factorial notation. For example, $$8! = 1\times2\times3\times\cdots\times8$$.
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