To find a number that is not a common multiple of 4 and 9, we need to consider the multiples of each number. The multiples of 4 are 4, 8, 12, 16, 20, 24, ... and the multiples of 9 are 9, 18, 27, 36, 45, ... The first number in the list of multiples of 4 that is not a multiple of 9 is 4. Therefore, 4 is a number that is not a common multiple of 4 and 9.
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5 is not a common multiple.
Any multiple of 36.
The LCM of 4, 9, and 15 is 144
You can always find a common multiple of two numbers by multiplying them together; it will not always be the least common multiple. As one counterexample, if one of the numbers is a multiple of the other, the first number is the LCM of the two. 9 x 3 = 27 The LCM of 9 and 3 is 9. 4 x 6 = 24 The LCM of 4 and 6 is 12.
To find the common multiple of 4, 5, and 9, we need to identify the least common multiple (LCM) of the numbers. First, we find the prime factors of each number: 4 = 2^2, 5 = 5^1, and 9 = 3^2. Next, we take the highest power of each prime factor that appears in any of the numbers: 2^2 * 3^2 * 5^1 = 4 * 9 * 5 = 180. Therefore, the common multiple of 4, 5, and 9 is 180.