A brave witch is out there hunting monsters for coins. She noticed that every 5th monster she encounters has wings, every 16th has a fiery breath, every 6th has fangs and every 14th has a pile of treasure. Now, the only monster with wings, fiery breath, fangs and a pile of treasure is a dragon and witches don’t hunt dragons. Suppose that the witch has just met a dragon and that every dragon has wings, firey breath, fangs and a pile of treasure. How many monsters will she have to hunt to meet another one?