Least common multiple (LCM) + divisibility - practice problems
Number of problems found: 94
- Relay teams
There are 159 students to be grouped into relay teams. Each team should have the same number of students. Can each team have 3,5 or 6 students? Explain. - A number 8
A number K is such that when it is divided by 27, 30, or 45, the remainder is 3. Find the smallest possible value of K - Composition 83241
You have to create as many identical candy boxes as possible from 280 orris, 252 nougat, and 420 marzipan candies. At the same time, you must not have any candy left or missing. What will be the composition of one box of chocolates, and how many candies w - Divisible 79464
The teacher wrote a number less than 50,000 on the board. The first student said: This number is divisible by 2 The second student said: This number is divisible by 3 And so on, down to the last one who claimed it was divisible by 13. Two in a row lied. W - Three-step 78424
In the physical education lesson, students entered the two-step, three-step, four-step, six-step, and eight-step classes, but there was always one student left. How many students practiced if there were more than 40 and less than 50? - What is 20
What is the least number that should be added to 2497 so that the sum of the digits is divisible by 5, 6, and 10? - Divisible 72004
Find the natural number between the numbers 70 and 80 divisible without the remainder 5, 3, 15, and 25. - Find whole
Find whole numbers between 155 and 232 that are divisible by 2, 5, and 10. - Dividing
One always remained when dividing the tangerines into packages of 8 or 10. How many were there, if more than 250 and less than 300? - Lcm = 22 + gcd
The least common multiple of two numbers is 22 more than their greatest common divisor. Find these numbers. - Rectangular 54871
The arranger has at his disposal a certain number of colored targets, from which he wants to create a rectangular pattern of a flower bed. If he puts 4,5,6,8,9, or 10 targets in one row, he always has three extra targets. How many targets does it have? De - Find unknown number
What is the number between 50 and 55 that is divisible by 2,3,6,9? - Coloured numbers
Mussel wrote four different natural numbers with colored markers: red, blue, green, and yellow. When the red number divides by blue, it gets the green number as an incomplete proportion, and yellow represents the remainder after this division. When it div - Summer camp
Some boys or girls signed up for the summer camp, which has a maximum capacity of 200 children. The main leader noticed that during the evening start, he could arrange the participants exactly in the twelve-step, sixteen-step, or eighteen-step, and no one - Tractor wheels
The tractor's front wheel has a circumference of 18 dm and the rear 60 dm. We will make a red mark on the lowest point of both wheels. The tractor then starts. At what distance from the start will both marks appear identically at the bottom again? - Three
Three buses follow the same circular route. The first driver is the slowest because he has many stops, and it takes him 90 minutes to cross the route. The second driver will pass the circuit in 1 hour. The third driver has the fewest stops, and the circui - Measuring 26891
What is the smallest square space we can tile with tiles measuring 25 x 15 cm, knowing there will be no need to cut them? How many tiles will we use? - 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. - Tram stop
The blue tram stops every 12 minutes, the red one for 8 minutes. At 8 o'clock, they left the stop together. How many times do they meet at a stop before 11 AM? - The florist
A consignment of 200 roses arrived at the florist in the morning. She sold more than half of them during the day. She wants to tie bouquets of the remaining roses. If she ties a bouquet of three, four, five, or six roses, one rose will always be left. Det
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