(1)Robert is thinking of two numbers. Their greatest common factor is 6. Their least common multiple is 36. One of the numbers is 12. What is the other number
Answer: 18 please help Ms.Sue I think the answer is right not sure how I got it please explain or help!!!
Right. You probably thought about these numbers.
Multiples of 6 = 6, 12, 18, 24, 30, 36
Factors of 36 = 1, 36, 2, 18, 3, 12, 4, 9, 6
To find the other number, you can use the relationship between the greatest common factor (GCF) and the least common multiple (LCM) of two numbers.
Given that the GCF is 6 and the LCM is 36, we can use the formula:
GCF × LCM = Product of the two numbers.
Let's substitute the given values into the equation:
6 × 36 = Product of the two numbers.
216 = Product of the two numbers.
Since one of the numbers is 12, we can rewrite the equation:
12 × X = 216, where X represents the other number.
To find X, divide both sides of the equation by 12:
X = 216 ÷ 12.
Calculating this, we find that X is equal to 18. Therefore, the other number is indeed 18.
If you have any further questions or need additional assistance, feel free to ask!