Least common multiple (LCM) - math word problems - page 13 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
- Buses
At the bus stop at 10 o'clock met buses No. 2 and No. 9. Bus number 2 runs at an interval of 4 minutes and bus number 9 at intervals of 9 minutes. How many times does the bus meet at 18:00 local time? - Trams
Tram no. 3,7,10,11 rode together from the depot at 5 AM. Tram No. 3 returns after 2 hours, tram No. 7 an hour and a half, no. 10 in 45 minutes, and no. 11 in 30 minutes. For how many minutes and when do these trams meet again? - Three buses
Three public transport buses depart together from the bus station in the morning. The first bus returns to the station after 18 minutes, the second after 12 minutes, and the third after 24 minutes. How long will again together at the station? Please expre - Matches
George poured out-of-the-box matches and composed their triangles, and no match was left. Then he tried squares, hexagons, and octagons, and no match was left. How many matches must be at least in the box?
- Runners circle
Pepa circles the track in 36 seconds. Kamil in 42 seconds. They started together. How many seconds will we meet again at the start? - Ski tow
The ski club has 168 pupils and uses a lift with 60 seats. Students always follow the same sequence in filling seats. How often does a skier sit in the same seat as the first run while riding a ski lift? - Lesson exercising
In the lesson on physical education, pupils are first divided into three groups so that each has the same number. They redistributed, but into six groups. And again, it was the same number of children in each group. Finally, they were divided into nine eq - Three Titanics
Three steamers sailed from the same port on the same day. The first came back on the third, the fourth 4th day, and the third returned on the sixth. How many days after leaving, the steamers meet again in the harbor? - 9.A
Class 9A has more than 20 students but fewer than 40 students. A third of the pupils wrote a math test to mark 1, the sixth to mark 2, and the ninth to mark 3. No one gets a mark of 4. How many students of class 9A wrote a test to mark 5?
- Two months
Mars has two months, Phobos and Deimos. Phobos orbit around Mars in 7 hours 39 minutes, and Deimos in 30 hours 14 minutes. How long will the relative positions of the three celestial bodies repeat? - Parachutists
During freefall, parachutists were first held in groups of 4, then 6, then 9, 12, and finally 18 members. If each group must all be involved, how many parachutists must jump at least? - Florist's
The flower shop has 72 white and 90 red roses. How many identical bouquets can they most tie together so that all the roses are used? - Tailor master
There are less than 50m of textile in the tailoring workshop. No textile is left when cutting on a blouse (consumption 1.5m). No textile is left when using a cloth (consumption of 3.2m). How many meters of textiles are in a tailor's workshop? - Plumber
The plumber had to cut the metal strip with dimensions of 380 cm and 60 cm to the largest squares to no waste. Calculate the length of the sides of a square. How many squares cut it?
- Buses
Buses Ikarus and Karosa simultaneously started at 8:00 from the final station. Ikarus is returned to the station after 30 minutes. Karosa after 45 minutes. At what time do both buses again return to the station? - Seamstress 2
The seamstress bought two kinds of textile in whole meters. One at 50 SKK and the second at 70 SKK per meter. How many meters were bought from these two textiles when paid 1540 SKK totally? - Spartakiada
Practitioners lined up in rectangles with a row with four, five, or six exercisers, one always missing an entire rectangle. How many exercisers were on the field, if they have estimated not been more than 100? - Around the flowerbed
Roses are to be planted equally spaced around a rectangular flowerbed with dimensions 5.25 m and 3.5 m so that they are found in every corner of the flowerbed and consumed as little as possible. a) At what distance are planted roses? b) How many roses do - Nuts
How many must we have at least nuts if we can equally divide it among 10 children, 12 children, or 15 children and any nuts left?
What is the size of the smallest square room, which can be paved with tiles with dimensions of 55 cm and 45 cm? How many such tiles are needed?Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
