If a number is a multiple of both 4 and 6, which of the following must it also b

Practice Questions

Q1
If a number is a multiple of both 4 and 6, which of the following must it also be a multiple of?
  1. 12
  2. 24
  3. 10
  4. 18

Questions & Step-by-Step Solutions

If a number is a multiple of both 4 and 6, which of the following must it also be a multiple of?
  • Step 1: Understand what a multiple is. A multiple of a number is the result of multiplying that number by an integer (like 1, 2, 3, etc.).
  • Step 2: Identify the numbers we are working with: 4 and 6.
  • Step 3: Find the multiples of 4: 4, 8, 12, 16, 20, ...
  • Step 4: Find the multiples of 6: 6, 12, 18, 24, ...
  • Step 5: Look for the smallest number that appears in both lists of multiples. This is called the least common multiple (LCM).
  • Step 6: The smallest number that is a multiple of both 4 and 6 is 12.
  • Step 7: Conclude that if a number is a multiple of both 4 and 6, it must also be a multiple of 12.
  • Least Common Multiple (LCM) – The smallest number that is a multiple of two or more numbers.
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