Question

what is the least common multiple of 4, 6, and 8?

Explanation:

Step1: Prime - factorize the numbers

$4 = 2\times2=2^{2}$; $6 = 2\times3$; $8 = 2\times2\times2 = 2^{3}$

Step2: Determine the highest power of each prime factor

For prime factor 2, the highest power is $2^{3}$ (from 8). For prime factor 3, the highest power is $3^{1}$ (from 6).

Step3: Calculate the LCM

$LCM(4,6,8)=2^{3}\times3^{1}=8\times3 = 24$

Answer:

24