There are three continuous natural numbers, the smallest of which can be divided by 6, the middle by 11, and the largest by 17

There are three continuous natural numbers, the smallest of which can be divided by 6, the middle by 11, and the largest by 17

The largest number, which can be divided by 17, divided by 11 to 1, divided by 6 to 2
The maximum number plus 10 can be divided by 6 and 11 at the same time, and the remainder is 10
The least common multiple of 6 and 11 is 66
66÷17=3...15
15 × 12 = 180 the remainder of 180 divided by 17 is 10
The minimum value of the maximum number is 66 × 12-10 = 782
The minimum number of three is 780781782