1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900.
2 and 3
900, 1800, 2700, 3600, 4500, 5400 +900 . . .
901
The prime factors of 900 are 2, 3 and 5
The even numbers from 900 to 920 are 900, 902, 904, 906, 908, 910, 912, 914, 916, 918, and 920. These numbers are all divisible by 2.
There is no number between 900 and 1000 that is divisible by 105 and 2.
900
One example is 1 + 899.
With big LCM's like this, I use this method. Although not the most accurate it works: 9 x 8 x 25= 1800 this means all three numbers can go into 1800 1800/2 = 900 this is to try to find a smaller number into which all three numbers go into Now check: 900/9=100 900/8=114 900/25 = 36 now that we know 900 is divisible by all three numbers we know it is a multiple of all three
There are no numbers between 900 and 1,100 that are divisible by 10 but not by two.
Even numbers
The numbers that go into 146 is 2 and 4.