Answer:
504th caller
Step-by-step explanation:
To determine who would win both the free concert ticket AND the backstage access pass, we need to find the first number that is divisible by both 42 and 72 at the same time.
That's called the Least Common Multiple (LCM), and it can be found with this formula:
[tex]lcm(a,b) = (\frac{|a * b|}{gcd(a,b)} )[/tex]
Where gcd is the Greatest Common Divisor, meaning what's the greatest number that divides both numbers without any leftover.
In the case of 42 and 72, the GCD is 6.
So, let's take the formula again, punching in the numbers this time and solving it.
[tex]lcm(42,72) = (\frac{|42 * 72|}{6} ) = \frac{3024}{6} = 504[/tex]
And 504 does divide both 42 (result is 12) and 72 (result is 7).
