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?

Correct answer:

n =  61

Step-by-step explanation:

4=22 5 ...  prime number 6=23 LCM(4,5,6)=2235=60  n=LCM(4,5,6)+1=61

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


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

Related math problems and questions:

  • Dance ensemble
    dancers_1 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?
  • 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
  • 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.
  • School
    ziaci_6 Less than 500 pupils attend school. When it is sorted into pairs, one pupil remains. Similarly, when sorted into 3, 4, 5 and 6 members team one remains. Sorted to seven members teams, no left behind. How many pupils are attending this school?
  • Rings groups
    venn 27 pupils attend some group; dance group attends 14 pupils, 21 pupils sporty group and dramatic group 16 pupils. Dance and sporting attend 9 pupils, dance and drama 6 pupil, sporty and dramatic 11 pupils. How many pupils attend all three groups?
  • Dance ensembles
    dancers 4 dance ensembles were dancing at the festival. None had less than 10 and more than 20 members. All dancers from some of the two ensembles were represented in each dance. First, 31 participants were on the stage, then 32, 34, 35, 37, and 38. How many danc
  • Groups
    children2_1 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?
  • Lesson exercising
    atomium 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
  • LCM
    calc_icon What is the least common multiple of 5, 50, 14?
  • LCM of two number
    numbers2_19 Find the smallest multiple of 63 and 147
  • Plums
    svestka In the bowl are plums. How many would be there if we can divide it equally among 8, 10 and 11 children?
  • Lcm of three numbers
    prime What is the Lcm of 120 15 and 5
  • Balls groups
    gulky_5 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?
  • LCD 2
    zlomky_6 The least common denominator of 2/5, 1/2, and 3/4
  • School
    ratios_2 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 florist
    ruze_6 The florist had 200 roses in the morning. During the day, more than half sold it. From the remaining roses, it will tie the bouquet. If a bouquet of 3, 4, 5, or 6 roses are bound, one always remains. How many roses from the morning shipment sold?
  • Florist's
    kvetiny The florist got 72 white and 90 red roses. How many bouquets can bind from all these roses when each bouquets should have the same number of white and red roses?