Question

Selena bought three light changing light bulbs the green one turns on in 12 seconds the yellow one turns on in 18 seconds the red one turns in 20 seconds how much second till they all light yp together​

Answer 1

To find out how much time it will take for all three light bulbs to light up together, we need to find the least common multiple (LCM) of the individual times for each light bulb to turn on.

The individual times for the light bulbs to turn on are: Green: 12 seconds Yellow: 18 seconds Red: 20 seconds

To find the LCM, we can list the multiples of each number until we find a common multiple:

Multiples of 12: 12, 24, 36, 48, 60, ... Multiples of 18: 18, 36, 54, 72, ... Multiples of 20: 20, 40, 60, 80, ...

From the lists above, we can see that the least common multiple (LCM) is 60 seconds.

Therefore, it will take 60 seconds for all three light bulbs to light up together.

Answer 2

180 sec

Explanation:

• Green light bulb: 12 seconds
• Yellow light bulb: 18 seconds
• Red light bulb: 20 seconds

To find the time until all three bulbs light up together, we need to calculate the least common multiple (LCM) of these three numbers.

Prime factorization of each number

12 → 2 × 2 × 3 → 2² × 3

18 → 2 × 3 × 3 → 2 × 3²

20 → 2 × 2 × 5 → 2² × 5

• Now, we can determine the LCM by taking the highest power of each prime factor that appears in any of the numbers:

LCM = 2² × 3² × 5 = 4 × 9 × 5 = 180

Therefore, it will take 180 seconds for all three light bulbs to light up together.