每周数学 （二十三）LCM

 *今日数学*

*number x*

Divided by 10 with remainder 9

Divided by 9 with remainder 8

Divided by 8 with remainder 7

Divided by 7 with remainder 6

Divided by 6 with remainder 5

Divided by 5 with remainder 4

Divided by 4 with remainder 3

Divided by 3 with remainder 2

Divided by 2 with remainder 1

*What are these numbers?*

*数字x*
除以 10 余数为 9
除以 9 余数为 8
除以 8 余数为 7
除以 7 余数为 6
除以 6 余数为 5
除以 5 余数为 4
除以 4 余数为 3
除以 3 余数为 2
除以 2 余数为 1

*这些数字是多少呢？*

*解答*

X=2519
(X+1) must be divisible by 2,3,4,5,6,7,8,9and 10.
Using LCM, (X+1)=2x2x2x3x3x5x7

👍🙂👏👏🤝
x=LCMxn -1
   =2520n-1
n=1,2,3.......