Natural numbers + least common multiple (LCM) - practice problems - page 2 of 8
Number of problems found: 157
- Marie-Pier
Marie-Pier, Frédéric, and Simon bump into each other in the street on a Tuesday while the three of them are running. Marie-Pier trains every three days, Frédéric every four days, and Simon every Tuesday. If they all keep up with their training pace, in ho - Reminder and quotient
There are given numbers A = 135, B = 315. Find the smallest natural number R greater than one so that the proportions R:A, R:B are with the remainder 1. - School year
At the beginning of the school year, 396 notebooks and 252 textbooks were ready to be distributed in the classroom. All pupils receive the same number of notebooks and the same amount of textbooks. How many pupils are there in the class if you know that t - Athletics team
All athletes from the Ostrava athletics team can start in four, five, six, and seven stages, and no one will be present. How many average athletes are in one athletic group if there are twelve groups in the section? Consider the smallest number of athlete
- The tickets
The tickets to the show cost some integer number greater than 1. Also, the sum of the price of the children's and adult tickets and their products was the power of the prime number. Find all possible ticket prices. - Divisible 79464
The teacher wrote a number less than 50,000 on the board. The first student said: This number is divisible by 2 The second student said: This number is divisible by 3 And so on, down to the last one who claimed it was divisible by 13. Two in a row lied. W - Summer camp
Some boys or girls signed up for the summer camp, which has a maximum capacity of 200 children. The main leader noticed that during the evening start, he could arrange the participants exactly in the twelve-step, sixteen-step, or eighteen-step, and no one - Cents no more
Janko bought pencils for 35 cents each. Neither he nor the salesperson had small coins, just a whole € 1 coin. At least how many pencils had to buy to pay for the whole euros? - Simultaneously 25521
People travel to the seaside in Greece for 8-day, 10-day and 12-day stays. An assigned delegate flies there and back with each group of passengers. On May 1, all three groups and their delegates will fly to the sea simultaneously. When will all three dele
- Three ships
There are three ships moored in the port, which sail together. The first ship returns after two weeks, the second after four weeks, and the third after eight weeks. In how many weeks will the ships meet in the port for the first time? How many times have - School
Less than 500 pupils attend school. When it is sorted into pairs, one pupil remains. Similarly, one remains when sorted into 3, 4, 5, and 6 members teams. Sorted to seven members teams, no left behind. How many pupils are attending this school? - Determine 82733
Tomáš collects NHL cards. Find out that he will never have any cards left if he divides them into groups of three, four, five, or six. Determine how many hockey cards Tomáš has; if their number is three-digit and starts with the number 2, - Treasury 73334
Peter has only two crowns in the treasury and can divide them both in a ratio of 4:5 and in a ratio of 4:7. How many crowns does Peter have in the money box if the amount saved is less than 300 CZK? - The florist
The florist had 200 roses in the morning. During the day, more than half sold it. The remaining roses will tie to the bouquet. One always remains if a bouquet of 3, 4, 5, or 6 roses is bound. How many roses from the morning shipment were sold?
- The port
Four ships Berthed in the port. Together sail from a port. The first ship will return to port every two weeks, the second after four weeks, the third after eight weeks, and the fourth after 12 weeks. After how many weeks do all the boats meet at the port? - Orienteering 6301
Twenty-six girls and 39 boys took part in the orienteering race. Create as many of the same teams as possible so that no competitor is left. How many boys and how many girls are on the team? - Steamers 67804
Two steamers set out on a voyage from the same port. The first steamer returns to port every fourth day, and the second steamer returns every fifth. How many days do they meet again? - Continuously 7164
Three trams left the tram depot at once. The first has a 20-minute cycle, the second a 40-minute cycle, and the third a 65-minute cycle. After how many minutes will the same trams meet if they run continuously (drivers take turns)? - Three friends
Three friends had balls in a ratio of 2:7:4 at the start of the game. Could they have the same number of balls at the end of the game? Write 0, if not, or write the minimum number of balls they had together.
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