Prime numbers + least common multiple (LCM) - practice problems - page 5 of 12
Number of problems found: 237
- Dividing nuts
How many nuts do you have when dividing them between 2, 3, 4, 5, 6, 8, and 10 children? (smallest possible number) - 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? - Consecutive 23251
Find the LCM of four consecutive natural numbers. Its sum is 42. - Rectangular 22761
We will pave a square plot of land from rectangular tiles with 25 cm and 30 cm dimensions. What is the smallest square plot we can pave with these tiles without cutting them?
- 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 - School year
At the beginning of the school year, 396 notebooks and 252 textbooks were ready to be distributed in the classroom. All pupils receive the same number of notebooks and the same amount of textbooks. How many pupils are there in the class if you know that t - Two-liter 19243
The barrel can be filled with just a two-liter measuring cup and a measuring cup for 3l, 5l, 7l, and 10l. What is the smallest volume this barrel can have? - Destination 18323
The family went on a trip to a ruin 6 km away. The father had a step length of 0.75 m, the mother of 0.6 m, and little Eva 50 cm. They went out on the same step. How many times did their steps retrace before reaching their destination? - Multiple 16733
What result do we get when dividing the least common multiple of the numbers 12 and 8 by their greatest common divisors?
- Difference 15263
Calculate the difference between the greatest common divisor and the least common multiple of 24 and 36. - Trolleybuses 14313
Trolleybuses on different lines depart from the same terminal station at 4:10 in the morning. The first returns to the final station regularly in 1 hour, the second in 40 minutes, the third in 2 hours, and the fourth in 1 hour and 20 minutes. At what time - Length of a string
What are the smallest string length we can cut into 18 equal parts and even 27 equal parts (in decimeters)? - The tickets
The tickets to the show cost some integer number greater than 1. Also, the sum of the price of the children's and adult tickets and their products was the power of the prime number. Find all possible ticket prices. - Matemakak 9432
The cookbook by Matěj Matemakak says: The greatest common divisor of flour weight and sugar weight is 15, the greatest common divisor of sugar weight and lemon peel weight is 6, the product of sugar weight and lemon peel weight is 1800, and the smallest c
- Significant 9321
Only herbs with 5 and 7 leaves grow in the Old Forest. When the boar Vavřínec collects raw materials for herbal liquor, it always tears off the whole herb and puts it in a basket. What is the most significant number of letters he will ever manage to have - Determine 8611
Determine all natural numbers A and B pairs for which the sum of twice the least common multiple and three times the greatest common divisor of natural numbers A and B is equal to their product. - Terminal 8255
Two trams left the station at 9 o'clock. Line 1 goes around the track in 96 minutes. Line 2 returns to the final in 72 minutes. At what time do both teams meet again at the same terminal? - Dance group
The dance group formed groups of 4, 5, and 6 members. Always one dancer remains. How many dancers were there in the whole group? - The King
The King wants to divide his sons equally. He has 42 rubies and 45 diamonds. How many sons and how will they share them?
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