Least common multiple (LCM) - practice problems - page 8 of 14
The Least Common Multiple (LCM) of integers is the smallest number that is divisible by these numbers without a remainder. Example: LCM(12, 15) = 60.Number of problems found: 272
- Trees in alley
There are four trees in the alley between which the distances are 35m, 15m, and 95m. Trees must be laid in the spaces so that the distance is equal and maximum. How many trees will they put in, and what will be the distance between them? - Hectares
The tractor plows on the first day of 4.5 ha, the second day of 6.3 ha, and the third day of 5.4 ha. It worked whole hours a day, and its hourly performance did not change and was the highest possible. How many hectares did it plow in one hour (what is it - 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)? - MO C–I–1 2018
An unknown number is divisible by just four numbers from the set {6, 15, 20, 21, 70}. Determine which ones.
- Exercisers
How many exercisers are in the gym (minimum number) if there is one left after ordering into three, four, and five steps? - Trolleybus 7058
The trolleybus and the city transport bus left the terminal station at 6:00 a.m. at the same time. Both will return to it again by trolleybus after 40 minutes of travel, bus after 55 minutes of travel. At what time will both means of transport meet again - Dance ensemble
The dance ensemble took the stage in pairs. During dancing, the dancers gradually formed groups of four, six, and nine. How many dancers have an ensemble? - Clock's gears
In the clock machine, three gears fit together. The largest has 168 teeth, the middle 90 teeth, and the smallest 48 teeth. The middle wheel turns around its axis in 90 seconds. How many times during the day do all the gears meet in the starting position? - Athletes
At the stadium, athletes could enter two-steps, three-steps, four-steps, five-steps, and six-steps. There were more than 100 but less than 200. How many athletes were there?
- Different 6975
Three different bus lines, 80, 81, and 82, depart from the final station at 5h 20min. Line 80 departs every 30 minutes, line 81 every 20 minutes, and line 82 every 40 minutes. What time will they leave again? - Two buses The first bus runs for 15 minutes, and the second bus runs after 21 minutes. Together, they both leave at 7:00 on Monday. When and what day will they meet?
- Counting number
What is the smallest counting number divisible by 2,5,7,8 and 15? - 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. - Mathematics 6522
There are more than 20 but less than 40 students in the class. A third of the pupils wrote the mathematics test with a one, a sixth with a two, and a ninth with a three. Nobody got a four. How many students in the class wrote the test on a five?
- 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? - Glass panel
A rectangular glass panel with 72 cm and 96 cm dimensions will cut the glazier on the largest square possible. What is the length of the side of each square? How many squares does the glazier cut? - Situation 6405
Three lines depart from the bus station at 6-minute, 8-minute, and 12-minute intervals during the morning rush hour. Once in a while, they come out at the same time. How many times between 5:30 and 8:30 does this situation occur if they first go out toget - 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? - Pexeso
The drawing paper has dimensions of 60cm and 840mm. Pupils have to divide it into squares to make a pexeso. What dimension must squares have if their side is larger than 3cm and less than 10cm?
Divide three lines with lengths of 12 cm, 24 cm, and 64 cm into equally long and, at the same time, the most extended possible parts. How long will the individual parts be, and how many will there be?Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
