thaddiuszk
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PLEASE HELP I'LL GIVE YOU 50 POINTS AND IT HAS TO BE RIGHT

What is the smallest number that meets all of these requirements?


Divide it by 2, the remainder is 1.
Divide it by 3, the remainder is 2.
Divide it by 4, the remainder is 3.
Divide it by 5, the remainder is 4.
Divide it by 6, the remainder is 5.
Divide it by 7, the remainder is 6.
Divide it by 8, the remainder is 7.
Divide it by 9, the remainder is 8.
Divide it by 10, the remainder is 9.

Respuesta :

AceGrandeJr
https://math.stackexchange.com/questions/111595/find-smallest-number-when-divided-by-2-3-4-5-6-7-8-9-10-leaves-1-2-3-4-5-6-7

It isn't very easy
mhanifa

Answer:

  • 2519

Step-by-step explanation:

Let the required number is x.

If we add 1 to x, then this number will be divisible by 2, 3, 4, 5, 6, 7, 8, 9, 10.

We need to find LCM of these

Factor the numbers and find LCM

  • 2 = 2
  • 3 = 3
  • 4 = 2*2
  • 5 = 5
  • 6 = 2*3
  • 7 = 7
  • 8 = 2*2*2
  • 9 = 3*3
  • 10 = 2*5
  • LCM(2, 3, 4, 5, 6, 7, 8, 9, 10) = 2*2*2*3*3*5*7 = 2520

We got x + 1 = 2520, then:

  • x = 2520 - 1
  • x = 2519

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