# 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?

Correct result:

n =  24

#### Solution:

$3 \ ... \ prime number \ \\ 4=2^2 \ \\ 6=2 \cdot 3 \ \\ 8=2^3 \ \\ LCM(3, 4, 6, 8)=2^3 \cdot 3=24 \ \\ \ \\ n=LCM(3,4,6,8)=24$

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!

Please write to us with your comment on the math problem or ask something. Thank you for helping each other - students, teachers, parents, and problem authors.

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

#### You need to know the following knowledge to solve this word math problem:

We encourage you to watch this tutorial video on this math problem:

## Next similar math problems:

• 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?
• 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
• Lcm simple
Find least common multiple of this two numbers: 140 175.
• Counting number
What is the smallest counting number divisible by 2,5,7,8 and 15?
• Write decimals
Write in the decimal system the short and advanced form of these numbers: a) four thousand seventy-nine b) five hundred and one thousand six hundred and ten c) nine million twenty-six
• Apples 2
How many minimum apples are in the cart, if possible is completely divided into packages of 6, 14 and 21 apples?
• LCM of two number
Find the smallest multiple of 63 and 147
• Lcm of three numbers
What is the Lcm of 120 15 and 5
• Prime factors
Write 98 as product of prime factors
• 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
• Divisibility 2
How many divisors has integer number 13?
• 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?
• 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?
• Digit sum
Determine for how many integers greater than 900 and less than 1,001 has digit sum digit of the digit sum number 1.
• 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?
• 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?
• 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?