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Split up $n \in \mathbb{N}$ into sum of naturals with maximum LCM

Question: Given some natural number, we can of course split it up into various sums of other naturals (e.g. $7 = 6 + 1 = 1 + 4 + 2 = \ldots$) More precisely, for $n \in \mathbb{N}$, we can a find ...