Question

The LCM of $4^5,4^{-81},4^{12}$, and $4^7$ is

• A. $4^{-81}$
• B. $4^5$
• C. $4^{12}$
• D. $4^7$

Answer 1

Answer: (C)

$4^{12}$

The rule to find the LCM of numbers is to "Multiply each factor of each number the greatest number of times it occurs in any of the numbers".
Since all the terms are in powers of 4, hence , factorizing each term , it is obvious that
maximum number of times 4 will appear is 12 times i.e.
$4^{12}$.
e.g.
$4^5=4\times 4\times 4\times 4\times 4$
$4^{12}=4\times 4\times 4\times 4\times 4\times 4\times 4\times 4\times 4\times 4etc.$
Hence, correct option is C.