Hotdogs are sold in packages of ten and buns come in packages of eight. What is the least amount of packages you will need to purchase in order that there are no hotdogs or buns left over?
The minimal number of meals will be a multiple of 8 buns and 10 packages. That is, the LCM of 8 and 10.
We have $[8,10]=2^3 \times 5 = 40$.
That means $\frac{40}{10}=4$ 4 hotdog packages and $\frac{40}{8}=5$ bun packages.
The least number of packages is 9.