One sign blinks every
9 seconds. The other sign blinks every 15 seconds. In how many
seconds will they blink together again
What is the least common multiple of 15 and 9?
45 is the common multiple
The manager turns on the restaurant's two neon signs at the same time. Both signs blink as they are turned on. One sign blinks every 9 seconds. The other sign blinks every 15 seconds. In how many seconds will they blink together again?
To find out when both signs will blink together again, we need to determine the least common multiple (LCM) of the two blink times, which are 9 seconds and 15 seconds.
Step 1: Prime Factorization
We'll start by finding the prime factorization of each blink time:
9 = 3 * 3
15 = 3 * 5
Step 2: LCM Calculation
To calculate the LCM, we take the highest power of each prime factor that appears in the prime factorization of either number:
LCM = 3 * 3 * 5 = 45
Therefore, the signs will blink together again every 45 seconds.