a blue light flashes every 8 seconds and a red light flashes every 12 seconds both lights have just flashed together how many secons will they flash together
24
every 3 seconds becus 12%8 is 1.5 now that times 2 is 3
What is the least common multiple of 8 and 12?
Thanks
To determine how many seconds the blue and red lights will flash together, we need to find the smallest common multiple of their individual flashing intervals.
The blue light flashes every 8 seconds, and the red light flashes every 12 seconds. We can find the smallest common multiple by calculating the least common multiple (LCM) of 8 and 12.
To find the LCM of 8 and 12, we can list the multiples of both numbers until we find a common multiple.
Multiples of 8: 8, 16, 24, 32, 40, ...
Multiples of 12: 12, 24, 36, 48, 60, ...
From the lists, we see that the smallest common multiple of 8 and 12 is 24. Therefore, the blue and red lights will flash together every 24 seconds.
So, the blue and red lights will flash together for 24 seconds.