Let AP(a;d) denote the set of all the terms of an infinite arithmetic progression with first term a and common difference d>0. If AP(1;3) AP(2;5) AP(3;7)=AP(a;d) then a+d equals _____

JEE Advanced 2019 Mathematics question

Let denote the set of all the terms of an infinite arithmetic progression with first term and common difference . If

AP(1;3) AP(2;5) AP(3;7)=AP(a;d)

then equals

Answer: 157

The common terms form an AP whose common difference is LCM. First common term: terms of are ; those also in (remainder 1 on

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Question ID VK-026857