Guess me : What is a number that when divided by 10 leaves a remainder 9 and when divided by 9 leaves a.................

Question

What is a number that
when divided by 10 leaves a remainder 9 and
when divided by 9 leaves a remainder 8,
when divided by 8 then leaves a remainder 7,
and similarly till 1 ?

What is the Number ?

Answer 1

the smallest number obeying these conditions is 89 (THIS is wrong answer, thanks @salil)
yes, being LCM of these numbers any form of (2520*n)-1 will work for this kind of question

Comments

89/8 remainder is 1 not 7
Mine is coming out to be 2519

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Thanks for pointing out, I have changed it