# 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?

Result

n =  61

#### Solution:

$4=2^2 \ \\ 5 \ ... \ prime number \ \\ 6=2 \cdot 3 \ \\ LCM(4, 5, 6)=2^2 \cdot 3 \cdot 5=60 \ \\ \ \\ n=LCM(4,5,6)+1=61$

Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Be the first to comment!

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

## Next similar math problems:

1. 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?
2. 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?
3. Balls groups
Karel pulled the balls out of his pocket and divide it into the groups. He could divide them in four, six or seven, and no ball ever left. How little could be a ball?
4. Biketrial
Kamil was biketrial. Before hill he set the forward gear with 42 teeth and the back with 35 teeth. After how many exercises (rotation) of the front wheel both wheels reach the same position?
5. 3 buses
At morning 5:00 am three buses started from one place. The first travel in five-minute intervals, the second at 10-minute intervals and the third at 25-minute intervals. At what hour will again be the three buses coming from the same place?
6. Prime factors
Write 98 as product of prime factors
7. Lcm simple
Find least common multiple of this two numbers: 140 175.
8. Two-digit number
I am a two-digit number less than 20. When I divided by three, then you get the rest 1 and when you divide me by four you get also rest 1. What number am I?
9. Number
What number should be placed instead of the asterisk in number 702*8 to get a number divisible by 6?
10. Matches
George poured out of the box matches and composing them triangles and no match was left. Then he tries squares, hexagons and octagons and no match was left. How many matches must be at least in the box?
11. Lcm of three numbers
What is the Lcm of 120 15 and 5
12. Counting number
What is the smallest counting number divisible by 2,5,7,8 and 15?
13. Three buses
Three public transport buses depart together from the bus station in the morning. The first bus was returning to the station after 18 minutes, the second after 12 minutes and a third after 24 minutes. How long will again together on the station? Result ex
14. Street numbers
Lada came to aunt. On the way he noticed that the houses on the left side of the street have odd numbers on the right side and even numbers. The street where he lives aunt, there are 5 houses with an even number, which contains at least one digit number 6
15. LCM of two number
Find the smallest multiple of 63 and 147
16. Apples 2
How many minimum apples are in the cart, if possible is completely divided into packages of 6, 14 and 21 apples?
17. Divisibility 2
How many divisors has integer number 13?