Natural numbers + least common multiple (LCM) - practice problems - page 4 of 8
Number of problems found: 157
- Revolutions 4145
Kamil was on a cyclist trial. Under the hill, he set the front gear to a 42-tooth cog and the rear to a 35-tooth cog. After how many revolutions of the front gear will both wheels reach the same relative position? - Parakeets 80471
Mr. Spacek keeps birds. It has more than 50 and less than 100. Parakeets make up a ninth and canaries a quarter of the total. How many birds did he keep? - Ratio
Alena collected 7.8 kg of blueberries, 2.6 kg of blackberries, and 3.9 kg of cranberries. Express the ratio in the smallest natural numbers in this order. - LCD two fractions
What is the least common denominator of 11/15 and 12/19?
- 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? - 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? - Trams
Two trams started at the same time from the same place. One tram journey takes 30 minutes, and the second 45 minutes to its final stop. How long will the trams meet again? - The King
The King wants to divide his sons equally. He has 42 rubies and 45 diamonds. How many sons and how will they share them? - Three-digit 8002
Find the largest three-digit number that gives the remainder 1 when divided by three, gives the remainder 2 when divided by four, gives the remainder 3 when divided by five, and gives the remainder 4 when divided by six.
- 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? - Game room
The winner can take the win in three types of jettons with value 3, 30, and 100 dollars. What is the minimum value of win payable in these values of jettons? - Two-liter 19243
The barrel can be filled with just a two-liter measuring cup and a measuring cup for 3l, 5l, 7l, and 10l. What is the smallest volume this barrel can have? - Dance group
The dance group formed groups of 4, 5, and 6 members. Always one dancer remains. How many dancers were there in the whole group?
- Cherries 55831
There are cherries in the basket. How many of them are if we can divide them equally between 3, 4, or 5 children? - Flowerbeds
What is the smallest length of flowerbeds we must prepare to plant seedlings at grids of 20,30,25,40 cm? - School
Headteacher thinks about whether the distribution of pupils in a race in groups of 4,5,6,9 or 10. How many pupils must have at least school possible options? - Dining tables
In the dining room are tables with four chairs, six chairs, and eight chairs. How many diners must be at least to occupy all tables (chairs) and diners are more than 50? - A number 5
A number is divisible by 24, 25, and 120 if it is increased by 20. Find the number.
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