find the least 5 digit number divisible by 16 18 24 30?

LCM(16, 18, 24, 30) = 720

Smallest 5 digit number = 10,000

10,000/720 > 13
14×720 = 10,080

The required number is 10,080

16 = 2 x 2 x 2 x 2
18 = 2 x 3 x 3
24 = 2 x 2 x 2 x 3
30 = 2 x 3 x 5
------------------------
The LCM of 16,18,24,30 is:
2 x 2 x 2 x 2 x 3 x 3 x 5
= 720

720 x 14 = 10080

∴ 10080 is the least 5 digit number that is divisible by 16,18,24,30.

10080

Do you mean divisible by each of them? Then find their LCM and keep on multiplying it by 1,2,3,4.... till you get a 5 digit number first time.
That's the number.
The LCM is 1440, its multiple are 1440, 2880, 4320, 5760, ...
It shuld be 10,080 [ 7*1440]

32580

10080

10080

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