Answer: The smallest number that can be divided by 90, 80 and 72 without a remainder is 720.
Explanation:
To find the smallest number that can be divided by 90, 80, and 72 without a remainder, you can find the least common multiple (LCM) of 90, 80, and 72. The LCM is the smallest positive number that is a multiple of all the given numbers.
One way to find the LCM is to list out the multiples of each number and then find the smallest one that is common to all.
Multiples of 90: 90, 180, 270, 360, 450, 540, 630, 720, 810, 900, 990, 1080, 1170...
Multiples of 80: 80, 160, 240, 320, 400, 480, 560, 640, 720, 800, 880, 960, 1040, 1120...
Multiples of 72: 72, 144, 216, 288, 360, 432, 504, 576, 648, 720, 792, 864, 936, 1008...
As you can see 720 is the smallest common multiple for all the numbers 90,80 and 72. Therefore, the smallest number that can be divided by 90, 80, and 72 without a remainder is 720.