# Least common multiple (LCM) - math word problems - page 12 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: 266

- LCM

The common multiple of the three numbers is 3276. One number is in this number 63 times, the second 7 times, and the third nine times. What are the numbers? - Meadow

On the meadow grazing horses, cows, and sheep, together with less than 200. If cows were 45 times more, horses 60 times more, and sheep 35 times more than there are now, their numbers would equal. How many horses, cows, and sheep are on the meadow togethe - Ships

The red ship begins its circuit every 30 minutes. The blue boat begins its circuit every 45 minutes. Both ships begin their sightseeing circuit in the same place at the same time, always at 10:00 o'clock. a / What time does the boat meet again? b / How ma - 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?

- Plum

On the platter are plums. How many were there if its have to be able to share equally among 8,10, and 12 children? - Tram stop

At the tram stop, trams No. 4 and No. 5 met at 10 AM. Tram no. 4 runs every 5 minutes, tram No. 5 at an interval of 7 minutes. How many times will we meet until 12 o'clock? - Steps

Peter makes steps long 70 cm, John 45 cm long. After how many meters do their footsteps meet? - Buses 4

Intervals: 1st bus 40 min. 2nd bus 2h 3rd bud 20min How long will it take them to meet - as soon as possible? - Biketrial

Kamil was a bike trail. Before hill, he set the forward gear with 42 teeth and the back with 35 teeth. After how many exercises (rotation) of the front wheel do both wheels reach the same position?

- Gearing

Gearing consists of two wheels. One is 88, and the second is 56 teeth. How many times turn the smaller wheel to hit the same teeth as in the beginning? How many times will we turn the biggest wheel? - Dressmaker

The dressmaker left a piece of canvas shorter than 5 meters. She is deciding whether it sew a skirt or dress. The canvas was exactly as much as they consumed had cut up her skirt to 120 cm, or 180 centimeters. What a piece of canvas left her? - Trams 2

Square passes two lines of the tram. One is running every nine minutes, the second interval of 15 minutes. Exactly at noon arrived two tram lines in the square. How soon should a similar situation arise again? - Apples 2

How many minimum apples are in the cart? If possible, is it completely divided into packages of 6, 14, and 21 apples? - 3 buses

Morning at 5:00 am, three buses started from one place. The first travel in five-minute intervals, the second at 10-minute intervals, and the third at 25-minute intervals. At what hour will the three buses again come from the same place?

- 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 a third after 24 minutes. How long will again together at the station? Please express - 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?

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