Question bank: LCM Problems

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Question 1:

Medium

The theater group of a school needed to reorganize its rehearsal schedule based on the availability of the students. The dance, music, and theater performances take place every 10, 15, and 20 days, respectively. From a certain day when all three groups meet, what will be the next day when they can all meet again? What is the minimum number of days that will pass for this to happen?

LCM Problems

Question 2:

Medium

Joana and Maria agreed to meet at the mall. Joana goes to the mall every 4 days, while Maria goes every 6 days. If both went to the mall today, what is the minimum number of days for them to meet again at the mall, coincidentally, on the same day?

LCM Problems

Question 3:

Medium

In a school, there are two teachers who organize math study groups. One teacher organizes groups every 6 days and the other every 8 days. Today, both organized a group simultaneously and intend to do so again in the future. a) Calculate the Least Common Multiple (LCM) between 6 and 8, to find out how many days will be needed for both to organize the next groups simultaneously. b) In one of the next simultaneous meetings, there will be a special class on fractions. The students will receive two types of cookies, with the ratio of 1/6 and 1/8 representing the quantity of each type of cookie per student, respectively. Determine the LCM of the fractions so that all students receive the same amount of each type of cookie. c) What will be the ratio of cookies that each student will receive in the simultaneous meeting?

LCM Problems

Question 4:

Medium

Alice and Beatriz scheduled a chess match and intend to play several games with a rest interval between them. Alice wants to play a game every 6 minutes, while Beatriz prefers to play a game every 9 minutes. When they meet, they start the first game. (a) What is the minimum time that must pass until both want to play again at the same time? (b) If they decide to play together only when they want to play exactly at the same time, and considering that each game lasts 4 minutes and the intervals are 1 minute, how many minutes will they spend playing chess in the shortest possible time? (c) How many minutes of interval will occur at the same time found in the previous item?

LCM Problems

Question 5:

Medium

LCM Problems

Basic Calculus

Contextualized Question

IARA TIP

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