Question

the music teacher can split the class into groups of 8 or 12. each group will have the same amount of students. what is the smallest number of people that can be at music class? 20 people 24 people 32 people 96 people

Explanation:

Step1: Find LCM of 8 and 12

Prime factorize 8: $8 = 2^3$
Prime factorize 12: $12 = 2^2 \times 3$
LCM is $2^3 \times 3 = 24$.

Step2: Verify options

• 20: Not divisible by 8 or 12.
• 32: Not divisible by 12.
• 96: Divisible, but not smallest.
• 24: Divisible by 8 (24÷8=3) and 12 (24÷12=2).

Answer:

24 people (the option with "24 people")