Least common multiple (LCM) - practice problems - page 9 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
- 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?
- Dinosaurs
More than 30 and less than 60 dinosaurs have met at the pond. A quarter of them bathed, and 1/7 saws and the rest gripped. How many were at the pond? How many were there?
- Together 5863
Bus A will travel its route in 15 minutes, and bus B will travel its way in 25 minutes. They left together for the first time at 5 a.m. When will they meet again at the site?
- 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.
- University students
One company employed a university student on a farm for the entire month of June by paying him €16 and a full board for one day. If he did not work that day, he had to pay €6 for the meal. How many days did the student work if he earned €348 in the month
- Grandchildren 5633
Michal's grandfather has 4 grandchildren. During this year's celebrations, he discovered that he is 7 times older than Michal, six times as old as Vašek, four times as old as Emil, and three times as old as Honza. This situation can only happen once in a
- 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?
- Participate 5543
The dance group is preparing for a performance. The program includes dances in pairs, fours, and fives. How many members does a group have to have to dance all these dances and have all their members participate in each dance?
- On Children's
On Children's Day, the organizers bought 252 chewing gums, 396 candies, and 108 lollipops. They want to make as many of the same packages as possible. Advise them what to put in each package and how many packages they can make this way.
- Circumference of the garden
The garden is 90 m long. What is the smallest width if it is possible to walk (circumference) in steps of 80 cm or 50 cm?
- Originally 5427
There were red and green candies in the tin. Čenek ate 2/5 of all the red candies, and Zuzka ate 3/5 of all the green candies. Now, the red candies make up 3/8 of all the candies in the can. How many candies were originally in the can?
- 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, others were 10 minutes ahead of the day, and the third was 12 minutes late each day. One day, they struck all the clocks at noon at once. How long will it be like this again?
- Paving - joints
We are paving with rectangular pavement 18 cm × 24 cm was placed side by side in height in a row and the second row in width etc. How many times will the joints meet at a distance of 10 m?
- Lcm of three numbers
What is the Lcm of 120 15 and 5
- Garden
The garden is rectangular, measuring 19m 20cm and 21m 60cm. Mr. Novák will fence it. It wants the distance between adjacent pillars to be at least two meters and a maximum of three meters. He would also like the distances between the adjacent pillars to b
- Tailor
From the rest of the cloth, the tailor could cut off either 3 m in men's suits without a vest or 3.6 m with the vest. What shortest possible length could the rest of the cloth have? How many suits a) without a vest b) With a vest, could you make the tailo
- Fewer than 500 sheep,
There are fewer than 500 sheep, but if they stand in a double, triple, quadruple, five, and sixth-order, one sheep will remain. But they can stand in the seventh order. How many sheep?
- LCM of two number
Find the smallest multiple of 63 and 147
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