The smallest five-digit number which is exactly divisible by 12, 15 and 18 is:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 10080
A number divisible by 12, 15 and 18 is a multiple of their LCM, so the answer is the first multiple of the LCM that has five digits.
\(12=2^2\times3\), \(15=3\times5\), \(18=2\times3^2\)
LCM \(=2^2\times3^2\times5=180\)
The smallest five-digit number is 10000, and \(10000\div180=55\) remainder 100
So the next multiple is \(180\times56=10080\)