Venus begins a new year every 225 days. Earth begins a new year every 365 days. If both planets begin a new year on the same day, how many days will pass befor that happens again.

Question

Venus begins a new year every 225 days.  Earth begins a new year every 365 days. If both planets begin a new year on the same day, how many days will pass befor that happens again.

Reiny · Answer

you are finding the LCM of 225 and 365 225 = 5x5x3x3 365 = 5x73 LCM = 5x5x3x3x73 = 16425 days