Chapter 1 - Some Basic Concepts of Arithmetic and Algebra - 1.2 - Prime and Composite Numbers - Problem Set 1.2 - Page 13: 86

$168$

Multiples of $8$ are: ${8,16,24,32,40,48,56,64,72,80,88,96,104,112,120,128,136,144,152,160,168...}$ Multiples of $14$ are: ${14,28,42,56,70,84,98,112,126,140,154,168...}$ Multiples of $24$ are: ${24,48,72,96,120,144,168...}$ Therefore, the lowest common multiple amongst these three numbers is $168$.