If a number is a multiple of 8 and 12, which of the following is the smallest su

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Question: If a number is a multiple of 8 and 12, which of the following is the smallest such number? (2023)

Options:

Correct Answer: 24

Exam Year: 2023

Solution:

The least common multiple of 8 and 12 is 24, making it the smallest number that is a multiple of both.

If a number is a multiple of 8 and 12, which of the following is the smallest such number? (2023)

If a number is a multiple of 8 and 12, which of the following is the smallest such number? (2023)

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: 8 and 12.
Step 3: Find the multiples of 8: 8, 16, 24, 32, 40, ...
Step 4: Find the multiples of 12: 12, 24, 36, 48, ...
Step 5: Look for the smallest number that appears in both lists of multiples. The first common number is 24.
Step 6: Conclude that 24 is the least common multiple (LCM) of 8 and 12, which means it is the smallest number that is a multiple of both.

Least Common Multiple (LCM) – The smallest positive integer that is divisible by two or more numbers.