Choose five different numbers from the 10 numbers of 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 to form a five digit number, so that it can be divided by 3, 5, 7 and 13. What is the maximum number?

Choose five different numbers from the 10 numbers of 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 to form a five digit number, so that it can be divided by 3, 5, 7 and 13. What is the maximum number?

The five digits can be divided by 3, 5, 7 and 13, and also by the least common multiple of 3, 5, 7 and 13, that is, the five digit is a multiple of 3 × 5 × 7 × 13 = 1365, so the maximum multiple of 1365 is 73 × 1365 = 99645, but there are two 9s in the five digits of 99645, which can be calculated in turn: 72 × 1364 = 98280 (two 8 repetitions, not required). 71 × 1 365 = 96915 (two 9 repetitions, not required). 70 × 1365 = 95550 (three 5 repetitions, not required). 69 × 1365 = 94185 (five numbers are different). Therefore, the maximum number of five digits is 94185. Answer: the maximum number is 94185

Choose five different numbers from the ten numbers of 0.1.2.8.9, group them into five digits, and divide them by 3.5.7.13. What is this number?

3*5*7*13=1365
1365n

(- 1 and 3 / 4) + (- 2 and 1 / 3) + | - 1.75|

(- 1 and 3 / 4) + (- 2 and 1 / 3) + | - 1.75|
=(- 1 and 3 / 4) + (- 2 and 1 / 3) + 1 and 3 / 4
=- 2 and 1 / 3