6 — Multiples and Common Multiples

Multiples and Common Multiples

Solution & Explanation · ID: CB464A46

Question

Find two common multiples of 4 and 6.

Hint

List multiples of each number and look for numbers that appear in both lists.

Concept

Common multiples are numbers that appear in the multiplication tables of two or more numbers. To find common multiples, we can list the multiples of each number and identify which ones appear in both lists.

Show Answer

12 and 24 (other correct answers: 36, 48, etc.)

Show Solution
1

List the first several multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36...

2

List the first several multiples of 6: 6, 12, 18, 24, 30, 36, 42...

3

Compare the two lists to find numbers that appear in both

4

The common multiples are: 12, 24, 36, ... (any two of these are correct answers)

Two horizontal number lines. Top line labeled 'Multiples of 4' shows: 4, 8, 12, 16, 20, 24, 28, 32, 36. Bottom line labeled 'Multiples of 6' shows: 6, 12, 18, 24, 30, 36, 42. The numbers 12, 24, and 36 are circled in both lines and connected with vertical arrows, highlighting them as common multiples.