A number is divisible by both 4 and 6. What is the smallest number that is also

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Question: A number is divisible by both 4 and 6. What is the smallest number that is also divisible by 12?

Options:

Correct Answer: 12

Solution:

The smallest number divisible by both 4 and 6 is their LCM, which is 12. Hence, the answer is 12.

A number is divisible by both 4 and 6. What is the smallest number that is also divisible by 12?

A number is divisible by both 4 and 6. What is the smallest number that is also divisible by 12?

Step 1: Understand that a number is divisible by another number if it can be divided by that number without leaving a remainder.
Step 2: Identify the numbers we are working with: 4 and 6.
Step 3: Find the least common multiple (LCM) of 4 and 6. The LCM is the smallest number that both 4 and 6 can divide into evenly.
Step 4: List the multiples of 4: 4, 8, 12, 16, 20, ...
Step 5: List the multiples of 6: 6, 12, 18, 24, ...
Step 6: Find the smallest number that appears in both lists of multiples. The smallest common number is 12.
Step 7: Since 12 is also divisible by 12, we conclude that the smallest number that is divisible by both 4 and 6, and also by 12, is 12.

Divisibility and LCM – Understanding the least common multiple (LCM) and how it relates to divisibility by multiple numbers.