Least common multiple (LCM) - math word problems - page 10 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
- 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, and 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
Paul has a collection of toy cars. He wanted to regroup them. But when he divided them into groups of three, four, six, and eight, he was always one left. Only when he formed groups of seven did he divide all toy cars. How many toy cars are in the collect
- 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 of the same long pieces of these two blades can do the biggest? How long is one piece?
- Grand Pardubice Steeplechase
Jirka decided to divide the winnings from the bet in Grand Pardubice Steeplechase (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
- School
The headteacher considers the distribution of pupils in a race in groups of 4, 5, 6, 9, or 10. How many pupils must have at least one school option?
- 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?
- Cinema 4584
There are 15 seats in the cinema. If we know the number of seats, we will say that there are more than 390 but less than 410.
- Pyramid Z8–I–6
Each brick of the pyramid contains one number. Whenever possible, the number in each brick is the lowest common multiple of two numbers of bricks lying directly above it. May that number be in the lowest brick? Determine all possibilities.
- Smallest 4432
What is the smallest number of members of a dance group with the same number of guys and girls, and at the same time they can form groups of three or five dancers while dancing?
- Performance 4403
During a public performance, majorettes line up in three-step, four-step, six-step, and eight-step. All rows are full with each grouping, and no majorette is promoted. Determine the smallest possible number of majorettes for which a performance can be mad
- Rectangular 4402
Our task is to save the rectangular images with dimensions of 105 mm and 42 mm so that we cover the smallest square. What will be its size, and how many pictures do we need?
- Motorcycles 4313
Three racing motorcycles drive at different speeds on the autodrome. One motorcycle can go around the circuit in 2 minutes, the second in 4 minutes, and the third in 7 minutes. If all three bikes enter the race track simultaneously, how long before they a
- Centipede 4257
Centipede Mirka consists of a head and several articles. Each pair has one pair of legs. When it got cold, she decided to get dressed. Therefore, she put a sock on her left foot from the end of the third article and then in every other third article. Simi
- Neither 4182
Hanka gave Simon a riddle: guess a pair of numbers whose GCD is 7, and LCM is 90. Katy wanted Šimon to guess such a pair for which GCD is 7, and LCM is 91. Which riddle could Šimon guess? A: Katy B: Hankina C: neither D: Both
- 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?
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