# Least common multiple (LCM) - practice problems - page 2 of 14

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: 266

- Ronald 2

Ronald and Tim both did their laundry today. Ronald does laundry every 6 days, and Tim does laundry every 9 days. How many days will it be until Ronald and Tim both do laundry on the same day? - Electricity 83351

Three roommates divided the electricity bill according to the time spent on the PC. Adam and Brano's time is divided in the ratio of 1:4, and Brano and Damian's time is divided in the ratio of 2:5. In what proportion do all three boys spend the time at th - 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 - Condition 83228

Three boys, Ivo, Vlado, and Alan, are reading the same book, with the condition that they will read the same number of pages every day during the entire reading until they finish the book. Ivo reads 18 pages from it every day, Vlado reads 24 pages, and Al

- Morning 82968

The new truck makes one trip with sand in 18 minutes, and the older truck takes one-third as long to make one trip. Both will leave at the same time in the morning. How long will it take for them to meet again, and how many times will they meet in an eigh - 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. - Determine 82733

Tomáš collects NHL cards. Find out that he will never have any cards left if he divides them into groups of three, four, five, or six. Determine how many hockey cards Tomáš has; if their number is three-digit and starts with the number 2, - Rectangular 82582

We have to pave the smallest possible square with rectangular tiles with 168 cm and 280 cm sides. What will its side of the square be? - Children 81752

How many nuts would we need at least to divide the nuts equally among 10 or 18 children?

- Calculate 81492

Jirka went on a moped for a three-day trip. He drove 90 km on the first day, 30 km on the second day, and 60 km on the third day. He always drove at the same average speed and always the whole number of hours. Calculate the average speed if Jirka drove at - Dimensions 80848

We want to cover a wall with dimensions of 4m x 250cm with square marble tiles with the largest possible dimensions of the sides of the tiles so that there are no losses caused, for example, by cutting them during tiling. How many tiles will we need for t - Cube-shaped 80585

Boxes with dimensions of 6 cm, 10 cm, and 15 cm should fit into a cube-shaped box. What are the smallest dimensions a box can have? How many boxes of the given dimensions can fit in it? - Smallest z9

Find the smallest positive numbers a and b for which 7a³ = 11b⁵ - Differences 80551

Bolek and Lolek each had their own arithmetic sequence. Both Lolek and Bolek's sequence started with the number 2023 and ended with the number 3023. The two sequences had 26 numbers in common. The ratio of Bolek's and Lolka's difference was 5:2. What is t

- The grocery

Susan has decided to make grocery combos for her shop. The wholesaler she buys from sells sugar in packets of 20 in a carton, flour in packets of 12 a carton, and 15 bags of rice in a carton. How many of each item should she buy so there are an equal numb - Parakeets 80471

Mr. Spacek keeps birds. It has more than 50 and less than 100. Parakeets make up a ninth and canaries a quarter of the total. How many birds did he keep? - Completes 80460

Three soldiers share a guard in the barracks. The first guard completed his errand in 8 minutes, the second completed his circuit in 10 minutes, and the third soldier completed his circuit in 12 minutes. How long before the three of them meet again if the - Rectangle-shaped 80074

Pupils had to stack rectangle-shaped pictures with dimensions of 210mm and 84mm so as to cover the square. What is the smallest square we can cover like this, and how many images do we need? - 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

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