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If a number is a multiple of both 4 and 6, which of the following must it also b
If a number is a multiple of both 4 and 6, which of the following must it also be a multiple of?
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Practice Questions
1 question
Q1
If a number is a multiple of both 4 and 6, which of the following must it also be a multiple of?
12
24
10
18
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The least common multiple of 4 and 6 is 12, so any multiple of both must also be a multiple of 12.
Questions & Step-by-step Solutions
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Q
Q: If a number is a multiple of both 4 and 6, which of the following must it also be a multiple of?
Solution:
The least common multiple of 4 and 6 is 12, so any multiple of both must also be a multiple of 12.
Steps: 7
Show Steps
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.
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