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Question Number 202830 by dimentri last updated on 04/Jan/24

$$\cancel{\underbrace{}}$$

Answered by mr W last updated on 04/Jan/24

$$lcm(3,5,7,9)=5\times 7\times 9=315$$$$\Rightarrow n=315k-1$$$$n_{min}=314$$

Commented by dimentri last updated on 04/Jan/24

$$\mathrm{why}\mathrm{n}=315\mathrm{k}-1$$$$\mathrm{sir}$$

Commented by mr W last updated on 04/Jan/24

$$thequestionisthesameas$$$$n+1=0\left(mod3\right)$$$$n+1=0\left(mod5\right)$$$$n+1=0\left(mod7\right)$$$$n+1=0\left(mod9\right)$$$$\Rightarrow n+1=315k$$$$\Rightarrow n=315k-1$$

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