4. Find the smallest number by which 204 must be divided to obtain a perfect cube.
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Answer: 204 LCM
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Given : 204 must be divided to obtain a perfect cube.
To find : Smallest number
Solution:
204
Prime factorize 204
= 2 * 2 * 3 * 17
There is no group of 3 is here
Hence need to divide by
all these numbers to get perfect cube as 1
1 = 1³
Hence 204 must be divided by 204
if Question is to multiply
then
2 * 2 * 3 * 17
must be multiplied with 2 * 3 * 3 * 17 * 17
= 5202
5202 * 204 = 102³
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