1 2 3 4 5 6 7 8 9
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
Just 72. It was found by multiplying 8 and 9. --------------------------------------- The common multiples of two numbers are the multiples of their lowest common multiple. LCM(8, 9) = 72 The common multiples of 8 and 9 are 72, 144, 216, ... The only common multiples less than 100 are 72 only.
If this means "what is x when 8x = 9x?" then there is no answer in this Universe. If you want common multiples of 8 & 9 then 72 and all its multiples. (8 & 9 are examples of xy and yx.)
LCM is 72
8 and 9 are corpime, so their first common multiple is their product. The next common multiples are simply the multiples of that first multiple.The first three common multiples are therefore 72, 144 and 216.
All multiples of 8 are also multiples of 2, but not all multiples of 2 are multiples of 8.
72, 144, 216 and so on.
72.
Just 72.
All multiples of 9 have a final digital sum of 9 as for example 9 times 55 = 495 and 4+9+5 = 18 and 1+8 = 9
They are all multiples of 8.
Assuming you mean that you want the number of multiples of each, then for 1-100: number of multiples of 2 = 50 number of multiples of 3 = 33 number of multiples of 4 = 25 number of multiples of 6 = 16 number of multiples of 8 = 12 number of multiples of 9 = 11 Assuming you mean that you want the numbers that are multiples of 2, 3, 4, 6, 8 or 9, then some numbers may be multiples of more than one (for example 12 is a multiple of 2, 3, 4 and 6) and so a straight addition of the number of multiples of each cannot be done: Consider 2, 4 and 8 Every multiple of 4 or 8 is also a multiple of 2, so all the multiples of 4 and 8 are counted by the multiples of 2. Consider 3 and 9 Every multiple of 9 is also a multiple of 3, so all the multiples of 9 are counted by the multiple of 3 Consider 2, 3 and 6. Every multiple of 6 is an even multiple of 3, so are counted in both the multiples of 2 and 3. So the total number of multiples of 2, 3, 4, 6, 8 or 9 is the number of multiples of 2 plus the number of multiples of 3 minus the number of multiples of 6: For 1 to 100, Number of multiples of 2 = 50 Number of multiples of 3 = 33 Number of multiples of 6 = 16 So number of multiples of 2, 3, 4, 6, 8 or 9 in 1-100 is 50+33-16 = 67. Assuming you mean that they are multiples of all of 2, 3, 4, 6, 8 and 9, then they must be multiples of the lowest common multiple of 2, 3, 4, 6 ,8, 9 2 = 21, 3 = 31, 4 = 22, 6 = 2131, 8 = 23, 9 = 32 LCM = highest power of the primes used = 2332 = 72 Thus all numbers that are multiples of 2, 3, 4, 6, 8 and 9 are multiples of 72, which means between 1 and 100 only 1 number is a multiple of all of them, namely 72