The number of times both the lights red and blue will blink at the same time in 60 seconds is 10 times (Using LCM method to find out the common multiple)
Blue lights blink every 2 seconds.
Red Lights Blink every 3 seconds.
Here we can use the concept of LCM (least common multiple)
This is the method where we can find out the least common multiples among the factors of any two or more numbers.
As 2 and 3 are two non-zero positive integers so we can find out the smallest common multiple of both the numbers that will be divisible by 2 and 3.
Multiples of 2 = 2, 4, 6, 8
Multiples of 3= 3, 6,9, 12
so the least common multiple is 6 here.
LCM of 2 and 3 is 6.
No of the times the red and blue lights will blink at the same time in 60 seconds = 60 / LCM of Blinking of red and Blue light
=60/6
=10
So they will blink 10 times at the same time in 60 seconds.
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They will blink together at 24 second because it is the first number where multiples of 6 and 4 coincide.
A multiple in mathematics refers to the outcome of multiplying two numbers together. Here, the number 7 is multiple by 56. Here's another illustration of a multiple: Fancy facts Because the result of multiplying 0 by any number is 0, 0 is a multiple of all numbers.
The multiplication symbol is frequently misinterpreted by students as "times." They can only define it as a synonym for multiplication, however, when pressed further. (An informal survey of friends at dinner indicated that everyone was aware of this.) One of those words we use frequently and unconsciously is "times."
Learn more about multiples here
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