Question
What is the smallest cubic number, which is divisible by
72, 108, and 300?Solution
72=2Ă—2Ă—2Ă—3Ă—3 108=2Ă—2Ă—3Ă—3Ă—3 300=2Ă—2Ă—3Ă—5Ă—5 LCM =2Ă—2Ă—2Ă—3Ă—3Ă—3Ă—5Ă—5 To make such a perfect cube, only 5 times are required. So now - 2Ă—2Ă—2Ă—3Ă—3Ă—3Ă—5Ă—5Ă—5=27000.
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