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This book explains a new mathematical formula and its proof which are found out by the author(A high school student) .It gives a detailed description about the failures which the author faced during his journey with numbers and how he succeeded in achieving his goal . The new formula is all about Relation between the product of 'n'numbers and combinations of their LCMs and GCDs. This relation previously existed for two and three numbers only.In this book a generalized relation for 'n' numbers in two forms has been discussed.This "research" was done during the summer vacation (2011)in his house .This book is designed to arouse interest in research among the students and also for casual readers, who are interested in mathematics.