Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:
Re: LCM and GCD- can som1 suppose any safe and easy method? [#permalink]
07 Jun 2011, 09:44
This post received KUDOS
If the LCM of A and 12 is 36, what are the possible values of A?
Think of what LCM means before going ahead. If I say LCM of two numbers is \(36 (= 4*9 = 2^2 * 3^2)\), it means that at least one of them must have a \(2^2\) and at least one of them must have a \(3^2\) (It is not possible that both numbers have just 3 because then, the LCM would have just 3, not 9)
If one number is \(12 (= 2^2 * 3)\), the other number A must have \(3^2\) since 12 doesn't have it. So minimum value of A will be 9. A can also have a 2 or a \(2^2\) so other possible values are \(18 (=9*2)\) and \(36 (= 9*2^2)\) Also, A cannot have any other factors since if it did, then the LCM would have to have that factor too. _________________