School

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?

Correct answer:

x =  180

Step-by-step explanation:

$$\begin{gathered} 4=2^2 \\ 5\mathrm{.}\mathrm{.}\mathrm{.}\text{ prime number } \\ 6=2\cdot 3 \\ 9=3^2 \\ 10=2\cdot 5 \\ LCM(4,5,6,9,10)=2^2\cdot 3^2\cdot 5=180 \\ x=LCM(4,5,6,9,10)=180 \end{gathered}$$

Try another example

Related math problems and questions:

• Parachutists
  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.
• 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?
• LCM
  What is the least common multiple of 5, 50, 14?
• Lcm 2
  Create the smallest possible number that is divisible by numbers 5,8,9,4,3
• Tram stop
  At the tram stop met tram No. 4 and no. 5 at 10 AM. Tram no. 4 runs every 5 minutes, tram No. 5 at an interval of 7 minutes. How many times will meet until 12 o'clock?
• Balls groups
  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?
• School books
  At the beginning of the school year, the teacher distributed 480 workbooks and 220 textbooks. How many pupils could have the most in the classroom?
• Dinosaurs
  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?
• Lcm of three numbers
  What is the Lcm of 120 15 and 5
• 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 g
• Plums
  In the bowl are plums. How many would be there if we can divide it equally among 8, 10 and 11 children?
• LCM
  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?
• Dance ensemble
  The dance ensemble took the stage in pairs. During dancing, the dancers gradually formed groups of four, six and nine. How many dancers have an ensemble?
• Cherries
  Cherries in the bowl can be divided equally among 19 or 13 or 28 children. How many are the minimum cherries in the bowl?
• 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?
• Lcm simple
  Find least common multiple of this two numbers: 140 175.
• Lcm to eliminate y
  Identify the least common multiple that would eliminate the y-variable. 6x - 5y = -4 4x + 2y = 28