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Question Number 24324 by Tinkutara last updated on 15/Nov/17

Find the minimum possible least  common multiple (lcm) of twenty (not  necessarily distinct) natural numbers  whose sum is 801.

$$\mathrm{Find}\:\mathrm{the}\:\mathrm{minimum}\:\mathrm{possible}\:\mathrm{least} \\ $$$$\mathrm{common}\:\mathrm{multiple}\:\left(\mathrm{lcm}\right)\:\mathrm{of}\:\mathrm{twenty}\:\left(\mathrm{not}\right. \\ $$$$\left.\mathrm{necessarily}\:\mathrm{distinct}\right)\:\mathrm{natural}\:\mathrm{numbers} \\ $$$$\mathrm{whose}\:\mathrm{sum}\:\mathrm{is}\:\mathrm{801}. \\ $$

Commented by Tinkutara last updated on 16/Nov/17

Yes.

$$\mathrm{Yes}. \\ $$

Commented by mrW1 last updated on 15/Nov/17

I think it is 42.

$${I}\:{think}\:{it}\:{is}\:\mathrm{42}. \\ $$

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