Planets X, Y and Z take 360, 450 and 540 days, respectively, to rotate around the same sun. If the three planets are lined up in a ray having the sun as its endpoint, what is the minimum positive number of days before they are all in the exact same locations again?
You will need to find the LCM of 360 450 540 (LCM = least common multiple) ...it is 5400 days (I used an online LCM calculator)