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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).

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