The lowest common multiple of two numbers is 36, one number is 12, what might the other number be?
This is like looking for a common denominator.
1/12 + 1/9 your lowest common denominator would be 36 because both numbers go into 36
If the lowest common multiple is 36 then the other number could be 9.
I think it's 9
I think it 18
Oh, I know this! The other number could be someone's age trying to hide from their birthday. But shh, don't tell anyone!
To find the other number, let's first understand what the lowest common multiple (LCM) is.
The LCM of two or more numbers is the smallest multiple that is divisible by each of the numbers. In this case, the LCM of the two numbers is 36, and one number is 12. We need to determine the other number.
To find the other number using LCM, we can use the following formula:
LCM = (Number 1 * Number 2) / GCD
Where:
- Number1 is one of the given numbers (12)
- Number2 is the other number we need to find
- GCD is the greatest common divisor of the two numbers
Now, let's find the GCD between 12 and the unknown number.
The GCD of 12 and any number will be a factor of 12.
The factors of 12 are: 1, 2, 3, 4, 6, and 12.
Since we have to find the smallest possible value for the other number, we need to find the smallest factor that can divide 12. In this case, the smallest factor is 2.
Now, let's substitute the values into the formula:
36 = (12 * Number2) / 2
To solve the equation, we can multiply both sides by 2:
2 * 36 = 12 * Number2
72 = 12 * Number2
Next, divide both sides by 12:
72 / 12 = Number2
Number2 = 6
So, the other number might be 6.