Dining tables

In the dining room are tables with 4 chairs, 6 chairs, 8 chairs.
How many diners must be at least to be occupy all tables (chairs) and diners are more than 50?

Correct result:

n =  72


LCM(4,6,8)=233=24 n>50 24k>50;kZ k>2.08333 k=3  n=24k=243=72

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