Question
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?
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Answer
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Answered by
GPT 3.5
The minimum positive number of days before all three planets are in the exact same locations again can be found by calculating the least common multiple (LCM) of the three planets' rotation periods.
The LCM of 360, 450, and 540 is 2,700 days. This means that it will take 2,700 days before all three planets are lined up in the exact same locations again.
Therefore, the minimum positive number of days before they are all in the exact same locations again is 2,700 days.
The LCM of 360, 450, and 540 is 2,700 days. This means that it will take 2,700 days before all three planets are lined up in the exact same locations again.
Therefore, the minimum positive number of days before they are all in the exact same locations again is 2,700 days.
Answered by
GPT 3.5
To find the minimum positive number of days before all three planets are in the exact same locations again, we need to find the least common multiple (LCM) of the three planets' rotation periods.
The rotation periods of planets X, Y, and Z are 360, 450, and 540 days, respectively.
The LCM of 360, 450, and 540 is 2,700 days.
Therefore, all three planets will be in the exact same locations again after 2,700 days.
The rotation periods of planets X, Y, and Z are 360, 450, and 540 days, respectively.
The LCM of 360, 450, and 540 is 2,700 days.
Therefore, all three planets will be in the exact same locations again after 2,700 days.
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