Answer: The other number is 100.
Step-by-step explanation:
The least common multiple (LCM) of two numbers is 200
The greatest common denominator (GCD) is 4.
One of the numbers is 8, which is the other number?
Ok:
First, we can write 8 as: 2*2*2 = 2^3 = 2*4
Now, the minimal common denominator can be any number that is written in the form
x = 4*a*b..
where a, b etc are prime numbers.
We also know that
LCD(a,b) = a*b/GCD(a,b)
LCD(8,x) = 8*x/GCD(8, x)
200 = 8*x/4
x = 200*4/8 = 100
the other number is 100.
