Least common multiple (LCM) - practice problems - page 9 of 13
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: 257
- 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 - 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
- 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? - Cinema 4584
There are 15 seats in the cinema. How many seats are there in the cinema, if we know 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
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