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If a number is a multiple of 8 and 12, which of the following is the smallest su
Practice Questions
Q1
If a number is a multiple of 8 and 12, which of the following is the smallest such number? (2023)
24
48
36
16
Questions & Step-by-Step Solutions
If a number is a multiple of 8 and 12, which of the following is the smallest such number? (2023)
Steps
Concepts
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.
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