You need at least two numbers to find an LCM.
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A single number cannot have a lowest common multiple, there need to be two or more numbers to compare.
600
The LCM is: 1,800
Take the LCM (least common multiple) of 9 and 5 = 45. Find the multiples of 45 to determine which fall between 100 and 200. 45, 90, 135, 180. So your answer is 135 and 180.
To find the least number that should be multiplied to 200 to make it a perfect cube, we need to break down 200 into its prime factors, which are 2^3 * 5^2. To make it a perfect cube, we need to have each prime factor raised to a power that is a multiple of 3. Therefore, we need to multiply 2 * 5 = 10 to 200 to make it a perfect cube, resulting in 2000 (2^3 * 5^3).
10