MCQ
Mark $(\checkmark)$ against the correct answer in the following: The least number divisible by each of the numbers $15, 20, 24, 32$ and $36$ is:
  • A
    $1660$
     
  • B
    $2880$
     
  • $1440$
     
  • D
    None of these.

Answer

Correct option: C.
$1440$
 
The least number divisible by each of the numbers $15, 20, 24, 32$ and $36$ is their $LCM.$
$\begin{array}{c|c}2&15,20,24,32,36\\\hline2&15,10,12,16,18\\\hline2&15,5,6,8,9\\\hline2&15,5,3,4,9\\\hline2&15,5,3,2,9\\\hline3&15,5,3,1,9\\\hline3&5,5,1,1,3\\\hline5&5,5,1,1,1\\\hline&1,1,1,1,1\end{array}$
$LCM = 2^5× 3^2× 5$$= 1440$

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