Least common multiple (LCM) - practice for 13 year olds - page 3 of 5
Number of problems found: 85
- 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. - 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? - Four poplars
Four poplars are growing along the way. The distances between them are 35 m, 14 m, and 91 m. At least how many poplars need to be dropped to create the same spacing between the trees? How many meters will it be? - LCD two fractions
What is the least common denominator of 11/15 and 12/19?
- Exercisers
How many exercisers are in the gym (minimum number) if there is one left after ordering into three, four, and five steps? - Athletes
Athletes at the stadium 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. The second bus runs after 21 minutes. Together they both leave at 7:00 on Monday. When and what day will they meet? - 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? - 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 - Dimensions 6201
Mr. John's plot of land has dimensions of 252 dm and 28 m. How far apart must he place the fence posts, so they are the same distance on both sides? How many will he need to fence the entire property? - Difference 5847
I reduced the unknown number by five and multiplied the result difference by three. Finally, I increase the resulting product by six and get the least common multiple of the numbers 3 and 8. Calculate the unknown number. - Newspapers 5601
Four deliver newspapers. One takes 60 minutes, the second 40 minutes, the third 120 minutes, and the fourth 80 minutes. If they left at the same time, at 8 o'clock, when will they meet again at the place they left?
- Different 5402
Adélka had two numbers written on the paper. When she added their greatest common divisor and least common multiple, she was given four different numbers less than 100. She was amazed that if she divided the largest of these four numbers by the least, she - Minutes 5310
They had three tower clocks in the city. Some went right, the others were 10 minutes ahead of the day, and the thirds were 12 minutes late each day. One day they struck all the clocks at noon at once. How long will it be like this again? - Pardubická 4651
Jirka decided to divide the winnings from the bet in Velká Pardubická between himself and his three younger brothers according to age in the ratio of 2:3:5:7. They paid each amount in whole crowns. One of the amounts was CZK 679. How big was the win? - Pyramid Z8–I–6
Each brick of the pyramid contains one number. Whenever possible, the number in each brick is the lowest common multiple of two numbers of bricks lying directly above it. May that number be in the lowest brick? Determine all possibilities. - Rectangular 4402
Our task is to save the rectangular images with dimensions of 105 mm and 42 mm so that we cover the smallest square. What will be its size, and how many pictures do we need?
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Do you want to calculate the least common multiple of two or more numbers? Least common multiple (LCM) - practice problems. Maths practice for 13 year olds.