A school is preparing identical food packets for its sports day. One type of sweet is arranged in groups of \(8\), while another type is arranged in groups of \(12\). The teacher wants to choose the smallest number of sweets that can be arranged equally into groups of either size with none left over.
Answer the following questions based on the information given:
(a) Which of the following gives the first four positive multiples of \(8\)?
(b) What is the smallest number of sweets that is a multiple of both \(8\) and \(12\)?
(c) Which calculation correctly verifies that the answer in part \((b)\) is divisible by both \(8\) and \(12\)?
(d) How many groups of \(8\) and how many groups of \(12\) can be formed from the smallest number of sweets?