The Galactium Occurrence

The DJCO-4729 Galaxy consists of 3 solar systems that revolve around the Solcentrum, which is the exact center of the galaxy. Each solar system consists of several planets that revolve around a central sun. Each solar system and planet is its own body that does not interfere with other solar systems or planets.

A Solyum is when all of a solar system's planets are aligned in a ray that points north and begins with the solar system's sun. A Galactium is when all 3 solar systems are experiencing Solyums and are aligned in a ray that points north and begins with the Solcentrum.

Solar System X consists of 2 planets. One revolves around its sun every 6 days, while the other takes 4 days. It takes 3 days to revolve around the Solcentrum.

Solar System Y consists of 6 planets that take 1, 3, 4, 5, 10, and 12 days to make one revolution around their sun. It takes 2 days to revolve around the Solcentrum.

Solar System Z consists of 3 planets that take 8, 6, and 9 days to revolve around their sun. It takes 3 days to revolve around the Solcentrum.

If a Galactium occurred yesterday, how many days it until the next Galactium occurs?

The amount of time in a 'day' is constant everywhere in the DJCO-4729 Galaxy

Nothing unusual occurs in the DJCO-4729 Galaxy during this time period

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