Question

In class of 10 students, the teacher writes a number on the board. The first student tells that the number is divisible by 1, the second student tells that the number is divisible by 2, the third by 3, the forth by 4 and so on till 10. If the statement of one of the students in wrong then what is the least number possible.

Answer 1

1= 1
2=2
3=3
4=2*2
5=5
6=2*3
7=7
8=2*2*2
9=3*3
LCM = 1*2*2*2*3*3*5*7 =2520
therefore the last answer is wrong.