The common multiplies of 6 and 8 that are under 80 are 24, 48, 72
63
81, 84, 87.
24, 48, 72, 96
To find the positive integers less than 2009 that are divisible by 28 but not by 12, we need to find the multiples of 28 that are not multiples of 12. The least common multiple of 28 and 12 is 84, so we need to find multiples of 28 that are not multiples of 84. Since 28 = 2^2 * 7 and 84 = 2^2 * 3 * 7, the multiples of 28 that are not multiples of 84 are those that have an odd power of 2. The highest multiple of 28 less than 2009 that satisfies this condition is 1976. Therefore, there are 1976 / 28 = 71 positive integers less than 2009 that are divisible by 28 but not by 12.
To find a common multiple of 3 and 4 that totals 9 less than 50, we first need to list out the multiples of 3 and 4. Multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, and multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48. The common multiples are numbers that appear in both lists. The common multiple that totals 9 less than 50 is 36.
It's 72
Just 72.
44 and 88 are the only common multiples of 4 and 11 that are less than 100
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.
9,18,27,36,45,54,63,72,81,90,99
Use the standard methods to use the LEAST common multiple. Then multiply that by 1, 2, 3, etc., to find additional common multiples.
Multiples of 7 that are less than 60 are 7, 14, 21, 28, 35, 42, 49, 56.Multiples of 14 that are less than 60 are 14, 28, 42, 56. Common multiples that are less than 60 are 14, 28, 42, and 56.
63
72.
12, 24, 36, 48.
21,42,63,84
Use the methods you probably already learned, to find the least common multiple of 2 and 3. Then multiply this least common multiple by 1, by 2, by 3, etc., to get additional multiples.