The Fewtsher family decided to holiday on Vuvv. The travel agent told them about Vuvv. One of its special features is its 7 moons. The moons are spread out on one plane in a great disc around Vuvv. These Vuvvian moons all have long and confusing names so scientists usually call them by their initials: A, B, C, D, E, F and G starting from the nearest one to the planet.

When 2 of these moons line up with the planet it is called a "lunar eclipse", when 3 line up with the planet it is called a "double eclipse", when 4 do it is a "triple eclipse" and so on. Once in a while all 7 planets line up and this is called a "super-eclipse".

Moon A completes a cycle round the planet in one Vuvvian year, moon B takes two years, moon C takes 3 years, moon D takes 4 years and so on.

The Fewtsher family decide they'd like to visit Vuvv during a "super eclipse". They missed one last year. How long is it between each "super- eclipse" on the planet of Vuvv? When can the Fewtsher family plan on visiting Vuvv?