Prime numbers + least common multiple (LCM) - practice problems - page 6 of 12
Number of problems found: 235
- The smallest number
What is the smallest number that can be divided by both 5 and 7 - Times 7822
How often is D (24.60) less than n (24.60)? - Two gears
The gearbox will use a large gear to turn a smaller gear. The large gear will make 75 revolutions per minute, while the smaller gear must make 384 revolutions per minute. Find the smallest number of teeth each gear could have. [Hint: Use either GCF or LCM - Regularly 7749
Three steamers leave the port. The first regularly returns after three months, the second after four, and the third after six months. How long before they meet again in the port? - Workbooks 7701
Determine the smallest possible number of workbooks divided into stacks of 6, 8, 9, or 10. - 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? - Regularly 7439
Three steamers leave the port. The first regularly returns after three months, the second after four, and the third after six months. How long before they meet again in the port? - 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? - 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
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?
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