In a classroom, if the number of students is a multiple of both 4 and 6, which o

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Question: In a classroom, if the number of students is a multiple of both 4 and 6, which of the following could be the number of students?

Options:

Correct Answer: 24

Solution:

The least common multiple of 4 and 6 is 12. Therefore, any multiple of 12 is valid, and 24 is a multiple of 12.

In a classroom, if the number of students is a multiple of both 4 and 6, which of the following could be the number of students?

In a classroom, if the number of students is a multiple of both 4 and 6, which of the following could be the number of students?

Step 1: Understand that we need to find a number that is a multiple of both 4 and 6.
Step 2: Find the least common multiple (LCM) of 4 and 6.
Step 3: To find the LCM, list the multiples of 4: 4, 8, 12, 16, 20, 24, ...
Step 4: List the multiples of 6: 6, 12, 18, 24, 30, ...
Step 5: Identify the smallest number that appears in both lists. The smallest number is 12.
Step 6: Since 12 is the LCM, any multiple of 12 will also be a multiple of both 4 and 6.
Step 7: Examples of multiples of 12 are 12, 24, 36, 48, ...
Step 8: Check if 24 is a multiple of 12. Yes, it is (12 x 2 = 24).
Step 9: Therefore, 24 could be the number of students in the classroom.

Least Common Multiple (LCM) – The smallest number that is a multiple of two or more numbers, in this case, 4 and 6.
Multiples – Numbers that can be expressed as the product of a given number and an integer.