Least common multiple (LCM) - practice problems - page 5 of 15
Number of problems found: 291
- Purchased
Milan shopped in a store where the prices of all goods were listed in whole €. If Milan bought 2 milk, 3 glasses, and 1 pack of sweets, he would pay €49. If he bought 5 more milks, 11 glasses, and 1 pack of sweets, he would pay a total of €154. How much € - Dividing
One always remained when dividing the tangerines into packages of 8 or 10. If there were more than 250 and less than 300, how many were there? - Lcm = 22 + gcd
The least common multiple of two numbers is 22 more than their greatest common divisor. Find these numbers. - Cherries 55831
There are cherries in the basket. If we can divide them equally between three, four, or five children, how many will there be? - 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 - Athletics team
All athletes from the Ostrava athletics team can start in four, five, six, and seven stages, and no one will be present. How many average athletes are in one athletic group if there are twelve groups in the section? Consider the smallest number of athlete - To the gym
Tony, Emil, and Patrick go to the gym regularly. Tony visits the gym every third day, Emil every fifth day, and Patrick every ninth day. How often does everyone meet at the gym? - A number 5
A number is divisible by 24, 25, and 120 if it is increased by 20. Find the number. - The drama club
The drama club meets in the auditorium every six days, and the choir meets there every five days. If the groups are both meeting in the auditorium today, then how many days from now will they next have to share the auditorium? - A rope
Paul can cut a rope into equal lengths with no rope left over. The lengths can be 15cm, 18cm, or 25cm. What is the shortest possible length of the rope? - Smallest 44681
What is the smallest width of the pool to be divided without rest into equally wide tracks, either 80cm or 1m, or 120cm? - Returning 44201
Four gears with 21, 49, 35, and 14 teeth mesh together. If one of them rotates, the other also rotates. How many times does each rotate before returning to their position at the start? - Per shift
Two cars take beets from the same field to the sugar factory. Both drive at the same average speed. A car with mechanical tipping needs 15 minutes to travel to the sugar factory and back. A car that does not have mechanical tipping needs 6 minutes longer - Leftovers 43921
There is less than 50 m of fabric in the package. If we cut only for blouses or only for dresses, we will not have any leftovers. 1.5 m of fabric is used for one blouse and 3.2 m for one dress. Determine the amount of fabric in the package. - Lcm to eliminate y
Identify the least common multiple that would eliminate the y-variable. 6x - 5y = -4 4x + 2y = 28 - Together 40541
The first bus leaves every 10 minutes, the second every quarter of an hour, and the third every 18 minutes. At noon, all three lines left together from the station U Kachny. At what time did all the lines go again at the same time? - Simultaneously 40161
Two differently set metronomes used in music education to keep rhythm were started simultaneously. The first beeps after 3 seconds and the second after 7 seconds. How often will the beep sound together between the 1st and 2nd minutes? - 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 is divided by blue, it gets the green number is an incomplete proportion, and yellow represents the remainder after this division. When it
- Electric 36771 There was a gear in the electric mixer. The drive wheel had 24 teeth. The driven wheel had 36 teeth. When did the same teeth of both wheels meet again?
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