Prime numbers + least common multiple (LCM) - practice problems - page 8 of 12
Number of problems found: 235
- 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, the others were 10 minutes ahead of the day, and the thirds were 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 has the shape of a rectangle 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 - 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 - LCM of two number
Find the smallest multiple of 63 and 147 - LCD 2
The least common denominator of 2/5, 1/2, and 3/4
- Cubes
Carol with cut bar 12 cm x 12 cm x 135 cm to the cubes. Find the sum of all the surfaces of the resulting cubes. - Cube-shaped box
Find the size of the smallest possible cube-shaped box where three types of 3cm, 5cm, 6cm small cubes could be stacked to fully use the box space (each type of cube separately). Can you find out how many smallest cubes are in the box? - Toy cars
Pavel has a collection of toy cars. He wanted to regroup them. But in the division in groups of three, four, six, and eight, he was always one left. Only when he formed groups of seven he divided everyone. How many toy cars have in the collection? - Smallest 4692
A. Find the largest natural number by which the numbers 54 and 72 can be divided (120, 60, and 42) B. Find the smallest natural number that can be divided by each of the numbers 36 and 48 (24,18 and 16) - Blades
1st blade 2,5 m, 2nd blade. .1.75 m. How many can the same long pieces of these two blades do the biggest? How long is one piece?
- Pardubická 4651
Jirka decided to divide the winnings from the bet in Velká Pardubická between himself and his three younger brothers according to age in the ratio of 2:3:5:7. They paid each amount in whole crowns. One of the amounts was CZK 679. How big was the win? - 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? - Including 4639
Visitors to the castle can choose from three tour circuits that last 35, 50, and 70 minutes, including a short break for the guide. At 8 o'clock, the guides will go out with their groups on the route. How long would it take to meet again if everyone follo - Balls groups
Karel pulled the balls out of his pocket and divided them into groups. He could divide them in four, six, or seven, and no ball ever left. How little could be a ball? - Lengths 4599
The garden is 9m long and is no wider than 10m. What is its width if you can walk the same 55cm or 70cm lengths?
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