Verified Answer :

2=2
3=3
4=22
6=2
3
8=222
12=223
16=2222
24=2
223
32=22222
48=22223

This is called the prime factors of these numbers. As you can see 3 only appears once for a single number. The maximum number of 2s is 5. 
Thus the solution is 22222*3=96

2=2
3=3
4=22
6=2
3
8=222
12=223
16=2222
24=2
223
32=22222
48=22223

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