Lesson exercising

The lesson of physical education, pupils are first divided into three groups so that each has the same number. The they redistributed, but into six groups. And again, it was the same number of children in each group. Finally they divided into nine equal groups. Again, no child has left.
How many children practiced the lesson of physical education if they are not more than 30? Find all solutions.

Correct answer:

n =  18

Step-by-step explanation:

n>30 3 ...  prime number 6=23 9=32 LCM(3,6,9)=232=18  n=LCM(3,6,9)=18



We will be pleased if You send us any improvements to this math problem. Thank you!






avatar




Tips to related online calculators
Do you want to calculate least common multiple two or more numbers?

Related math problems and questions:

  • Group
    deti_skupina A group of kids wanted to ride. When the children were divided into groups of 3 children, one remain. When divided into groups of 4 children, 1 remains. When divided into groups of 6 children, 1 remains. After divided into groups of 5 children, no one lef
  • Trams
    trams Tram no. 3,7,10,11 rode together from the depot at 5am. Tram No. 3 returns after 2 hours, tram No. 7 an hour and half, no. 10 in 45 minutes and no. 11 in 30 minutes. For how many minutes and when these trams meet again?
  • Dinosaurs
    dino More than 30 and less than 60 dinosaurs have met at the pond. A quarter of them bathed and 1/7 saws and the rest gripped. How many were at the pond? How many were there?
  • School
    ratios Headteacher think whether the distribution of pupils in race in groups of 4,5,6,9 or 10. How many pupils must have at least school at possible options?
  • The smallest number
    numbers What is the smallest number that can be divided by both 5 and 7
  • Plums
    svestka In the bowl are plums. How many would be there if we can divide it equally among 8, 10 and 11 children?
  • School year
    zosity At the beginning of the school year, 396 notebooks and 252 textbooks are 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 th
  • Apples and pears
    hrusky2 Mom divided 24 apples and 15 pears to children. Each child received the same number of apples and pears - same number as his siblings. How many apples (j=?) and pears (h=?) received each child?
  • Dance group
    dancers The dance group formed groups of 4, 5, and 6 members. Always one dancer remains. How many dancers were there in the whole group?
  • Balls groups
    gulky Karel pulled the balls out of his pocket and divided them into groups. He could divide them in four, six, or seven, and no ball ever left. How little could be a ball?
  • Parachutists
    parasutism Parachutists during freefall firstly held in groups of 4, then of 6, then 9, 12 and finally of 18 members. How many parachutists jump at least should be, if at each group must all be involved.
  • LCM
    calc_icon What is the least common multiple of 5, 50, 14?
  • Groups
    children2 In the 6th class there are 60 girls and 72 boys. We want to divide them into groups so that the number of girls and boys is the same. How many groups can you create? How many girls will be in the group?
  • Number train
    train2 The numbers 1,2,3,4,5,6,7,8 and 9 traveled by train. The train had three cars and each was carrying just three numbers. No. 1 rode in the first carriage, and in the last carriage was all odd numbers. The conductor calculated sum of the numbers in the firs
  • LCM
    numbers Common multiple of three numbers is 3276. One number is in this number 63 times, second 7 times, third 9 times. What are the numbers?
  • On the trip
    skola On the trip were more than 55 children, but less than 65 children. Groups of 7 could be formed, but groups of 8 no. How many children were on a trip?
  • Part-time workers
    workers On Saturday, 210 part-time workers arrived in the village. One hundred five part-time workers worked on the first field, 60 on the second. The other part-time workers worked in the third field. They all worked in equal groups. How many workers worked in e