UPSC 2017 CDS II Math Paper

LCM of 2, 3, 4 and 5 = 60
The numbers that are divisible by 2, 3, 4 and 5 must be divisible by 60
The numbers from 1 to 1000 thatare divisible by 60 are 60, 120, 180, ..., 900, 960.
Now,

960

60

=16
Thus, there are 16 numbers from 1 to 1000 that are divisible by 2, 3, 4 and 5.