Question

the table shows the first five multiples for the numbers 3 and 6.

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$$\begin{tabular}{|c|c|} \\hline number & multiples \\\\ \\hline 3 & 3, 6, 9, 12, 15, \\dots \\\\ \\hline 6 & 6, 12, 18, 24, 30, \\dots \\\\ \\hline \\end{tabular}$$

the lcm of 3 and 6 is

Explanation:

Identify the multiples of each number

The table lists the first five multiples:

• Multiples of \(3\): \(3, 6, 9, 12, 15, \dots\)
• Multiples of \(6\): \(6, 12, 18, 24, 30, \dots\)

Find the common multiples

Identify the numbers that appear in both lists:

• Common multiples: \(6, 12, \dots\)

Determine the least common multiple

The least common multiple (LCM) is the smallest positive integer that is a multiple of both numbers:

• Smallest common multiple: \(6\)

Answer:

The table shows the first five multiples for the numbers 3 and 6. The LCM of 3 and 6 is <blank>6</blank>.