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Angel went to the doctor and was prescribed three different medications: one in capsules, a syrup and a few drops. The capsules should be taken every 6 hours, the syrup every 3 hours and the drops every 4 hours. If Cristóbal takes the three medications at 8:00 am when starting the treatment, At what time do you take the three medications together again?

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Answer to a math question Angel went to the doctor and was prescribed three different medications: one in capsules, a syrup and a few drops. The capsules should be taken every 6 hours, the syrup every 3 hours and the drops every 4 hours. If Cristóbal takes the three medications at 8:00 am when starting the treatment, At what time do you take the three medications together again?

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110 Answers

\text{1. Determine the intervals for taking each medication:}

6 \, \text{hours, 3 \, \text{hours}, and 4 \, \text{hours} }

\text{2. Find the LCM of 6, 3, and 4:}

\text{Prime factorizations:}

6 = 2 \times 3

3 = 3

4 = 2^2

\text{Highest powers:}

2^2 \times 3 = 4 \times 3 = 12 \, \text{hours}

\text{3. Add the LCM to the starting time:}

8:00 \, \text{am} + 12 \, \text{hours} = 8:00 \, \text{pm}

\text{Answer: 8:00 pm}

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