Any multiple of 252
The common multiples of an set of numbers are the multiples of their lowest common multiple. lcm(7, 8, 9) = 504 → the first 3 common multiples of 7, 8, 9 are 504, 1008, 1512.
The lowest common multiple of 7 and 9 is 63. The common multiples of 7 and 9 are therefore the infinite set of multiples of 63. Thus, the common multiples of 7 and 9 are 63, 126, 189, 252, 315, 378, 441, 504, 567, 630, 693, and so on.
504 is the least common multiple of 7, 8 and 9. All numbers that are multiples of 504 are multiples of 7, 8 and 9 as well
Common multiples of 7 and 4 include any multiple of 28.
The LCM of 4, 9, and 12 is 36
To find the common multiples of 2, 3, and 7, we first list the multiples of each number: Multiples of 2: 2, 4, 6, 8, 10, 12, ... Multiples of 3: 3, 6, 9, 12, 15, 18, ... Multiples of 7: 7, 14, 21, 28, 35, ... The first common multiple of 2, 3, and 7 is 6, as it is the smallest number that is a multiple of all three numbers. The second common multiple is 12, as it is the next number that is a multiple of all three numbers.
The LCM of 9 and 12 is 36
The common multiples of 9 and 12 are 36, 72, 108, 144, 180, 216, 252, 288, 324, 360, and so on. They are the infinite set of multiples of the LCM of 9 and 12, which is 36.
36
36
36
Any multiple of 36.