Playing children ..Part 2

Alam was organising group activities for kids at the after- school care

At 6pm. parents took away 35 children , and Alam found that when he divided the remaining children into groups of 5 , three were remaining ,and when he divided them into groups of 7 , two children were remaining.

At 7pm. parents took away 143 children ,and Alam found that when he divided the remaining children into groups of 11 , 4 were remaining, and when he divided them into groups of 13 , 8 were remaining.

Find the least possible number of children who went to Alam's group activities


The answer is 303.

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