Question 1
A teacher writes $90,110,X$ on the board and asks for their least common multiple. Tom misreads 90 as 99, but still gets the correct answer. Find the smallest possible positive integer $X$.
Domain clarification: $X$ is a positive integer; the question does not require the three numbers to be distinct.
Domain clarification: $X$ is a positive integer; the question does not require the three numbers to be distinct.