The Gcf of two numbers is 3 and their lcm is 180 if one of the numbers is 45then find the second number
To find the second number, we can first find the GCF of the two numbers. Since the GCF is 3, we know that the first number (45) is a multiple of 3.
Next, we can use the formula for the LCM to find the second number. The formula for the LCM of two numbers is:
LCM = (first number * second number) / GCF
We know that the LCM is 180 and the first number is 45. Substituting these values into the formula, we get:
180 = (45 * second number) / 3
To solve for the second number, we can multiply both sides of the equation by 3:
540 = 45 * second number
Dividing both sides by 45, we get:
12 = second number
Therefore, the second number is 12.