Question

the lcm of four numbers is 48. three of them are 6, 8 and 12. what can be the fourth number?​

Answer 1

Answer:

The answer is 16

Step-by-step explanation:

16 can divide 48

Answer 2

Given:

The LCM of four numbers is 48.

Solution:

Find the factors of 48,

$\[48 = 2 \times 2 \times 2 \times 2 \times 3\]$

Therefore the possible numbers for which 48 is Multiple,

$\[\begin{array}{l} \Rightarrow 2 \times 2 = 4,\\ \Rightarrow 2 \times 2 \times 2 = 8,\\ \Rightarrow 2 \times 2 \times 3 = 12\\ \Rightarrow 2 \times 2 \times 2 \times 2 = 16\\ \Rightarrow 2 \times 2 \times 2 \times 3 = 24\end{array}\]$

Since 16 is no divisible by 6,

Hence The fourth number is 24 for which 48 is a LCM, three of them are 6, 8 and 12.