Find the least number that is divisible by allthe numbers between 1 an – InterviewSolution

InterviewSolution

1.	Find the least number that is divisible by allthe numbers between 1 and 10 (both inclusive).A. 100B. 1260C. 2520D. 5040
Answer» Correct Answer - C Required number = LCM { 1,2,3,4,5,6,7,8,9,10} , = LCM : 1,2,3,`2^(2) , 5,2 xx 3, 7,2^(2) , 3^(2) , 2xx5` `= ( 1xx 2^(3) xx 3^(2) xx 5 xx 7) = ( 8 xx 9 xx 5xx 7) = 2520`

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