Answer
Please see the work below.
Work Step by Step
We can find the mass of $LiOH$ as
$5.8186mol\space Cl_2\times \frac{1mol\space KClO_3}{ 3mol\space \space mol Cl_2}\times\frac{122.55g\space KClO_3}{1 mol\space KClO_3}=237.69g\times KClO_3$
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