Natural numbers + least common multiple (LCM) - practice problems - page 3 of 8
Number of problems found: 158
- Apples and pears
Mom divided 24 apples and 15 pears among the children. Each child received the same number of apples and pears - the same number as their siblings. How many apples (j=?) and pears (h=?) were received for each child? - Florist's
The flower shop has 72 white and 90 red roses. How many identical bouquets can they most tie together so that all the roses are used? - 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) - 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
- Trams
Tram no. 3,7,10,11 rode together from the depot at 5 AM. Tram No. 3 returns after 2 hours, tram No. 7 an hour and a half, no. 10 in 45 minutes, and no. 11 in 30 minutes. For how many minutes and when do these trams meet again? - Tailor master
There are less than 50m of textile in the tailoring workshop. No textile is left when cutting on a blouse (consumption 1.5m). No textile is left when using a cloth (consumption of 3.2m). How many meters of textiles are in a tailor's workshop? - Bus lines
At 5.00 in the morning, four buses left the terminal at the same time. The first bus has an interval of 15 minutes, the second 20 minutes, the third 25 minutes, and the fourth 45 minutes. How many minutes will all four buses leave the terminal at the same - Aman
Aman, Anna, and Tina are participating in the school race. Anna completes a lap in 120 minutes, Aman completes a lap in 240 minutes, and Tina completes a lap in 60 minutes. If they all started at the same time, then after how long will they meet again? - Three Titanics
Three steamers sailed from the same port on the same day. The first came back on the third, the fourth 4th day, and the third returned on the sixth. How many days after leaving, the steamers meet again in the harbor?
- Parachutists
During freefall, parachutists were first held in groups of 4, then 6, then 9, 12, and finally 18 members. How many parachutists jump at least should be, if at each group must all be involved. - Determine 82852
The fan club has 275 members. Some members went to the match by train. Determine how many members rode when they could fill the wagons with either 60 or 80 seats. - 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 - 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? - Two gears
Two gears with 13 and 7 teeth rotate locked into each other. We want both wheels to be in the starting position again. How many turns does a big wheel have to make?
- 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? - 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? - 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? - 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? - Performance 57041
We are planning a dance performance at the school academy. How many students have to take part in it if we want them to be able to split into groups of four, six, and twelve?
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