Find the GCD and the LCM of 24,48 and 96 ,then compare the multiplication of those numbers and the multiplication of the GCD and the LCM.


closed as off-topic by Henrik, lulu, kingW3, Davide Giraudo, zz20s Jun 9 '17 at 13:34

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  • 1
    $\begingroup$ Sounds straight forward, what have you tried? $\endgroup$ – lulu Jun 9 '17 at 11:38
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    $\begingroup$ Done. What should I do now? $\endgroup$ – Henrik Jun 9 '17 at 11:38
  • $\begingroup$ You should post it as your answer @Henrik . $\endgroup$ – Harsh Kumar Jun 9 '17 at 11:39
  • $\begingroup$ @Henrik If this question gets closed because of lack of context, the system will close it in 30 days (with its current 3 downvotes) and reverse any reputation gains from this question. $\endgroup$ – Toby Mak Jun 9 '17 at 11:50
  • $\begingroup$ Contest math? It would be an assignment for primary school students. $\endgroup$ – edm Jun 9 '17 at 11:51

Although this is not a site for homework questions, maybe you are unfamiliar with the algorithm - Through prime factorization: $$24=2^3\cdot 3$$ $$48=2^4\cdot 3$$ $$96=2^5\cdot 3$$

$$\gcd(24,48,96) = \gcd(2^3\cdot 3,2^4\cdot 3,2^5\cdot 3) = 2^3\cdot 3 = 24$$ Following the same method: $$\text{lcm}(24,48,96) = 96$$ Then, it is obvious that: $$96 \cdot 24 < 96 \cdot 24 \cdot 48$$

There are other methods as well, such as Euclid's Algorithm.


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