Results 1 to 4 of 4

Math Help - factorization ?

  1. #1
    Newbie
    Joined
    Apr 2006
    From
    Boston
    Posts
    6

    factorization ?

    Can someone please show me how to find the lcm useing prime factorization ? i am so confused about this here is a sample problem 18 and 24
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    earboth's Avatar
    Joined
    Jan 2006
    From
    Germany
    Posts
    5,807
    Thanks
    116
    Quote Originally Posted by Sandra14
    Can someone please show me how to find the lcm useing prime factorization ? i am so confused about this here is a sample problem 18 and 24
    Hello,

    1. Transform both numbers into a product of prime factors:
    18 = 2 * 3 * 3
    24 = 2 * 2 * 2 * 3

    2. The lcm consists of all prime factors so that each number is completely in the lcm:

    lcm = \underbrace{2 * 3 * 3}_{\csub{thats\  for\  18}}* \underbrace{2*2}_{\csub{addition\  to\  get\  24}}=72

    Greetings

    EB
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member
    earboth's Avatar
    Joined
    Jan 2006
    From
    Germany
    Posts
    5,807
    Thanks
    116
    Quote Originally Posted by Sandra14
    Can someone please show me how to find the lcm useing prime factorization ? i am so confused about this here is a sample problem 18 and 24
    Hello,

    it's me again.

    I've attached a diagram to show you how you can find the lcm for 2 and more numbers by using prime factorization.

    Maybe you need some time to understand the "mechanic" which is used. But if you've understand it, it's a very easy way to do a very unpleasent calculation.

    Good luck.

    EB
    Attached Thumbnails Attached Thumbnails factorization ?-lcm_tabl1.gif  
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Global Moderator

    Joined
    Nov 2005
    From
    New York City
    Posts
    10,616
    Thanks
    9
    Quote Originally Posted by Sandra14
    Can someone please show me how to find the lcm useing prime factorization ? i am so confused about this here is a sample problem 18 and 24
    The easiest method I know if it done through the Euclidean Algorithm. You basically work with the greatest common divisor. There is a theorem that:
    \gcd(a,b)\cdot \mbox{lcm} (a,b)=ab
    If you understand what I said, good. If you like me to explain how to use this to find both the greatest common divisor and lowest common multiple please ask.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Factorization
    Posted in the Algebra Forum
    Replies: 1
    Last Post: August 25th 2010, 08:48 PM
  2. [Factorization] Factorization of polynomials
    Posted in the Algebra Forum
    Replies: 9
    Last Post: April 9th 2010, 12:15 AM
  3. Replies: 2
    Last Post: March 4th 2010, 01:49 AM
  4. factorization
    Posted in the Algebra Forum
    Replies: 1
    Last Post: March 1st 2009, 06:21 PM
  5. factorization.
    Posted in the Algebra Forum
    Replies: 3
    Last Post: January 24th 2009, 06:51 AM

Search Tags


/mathhelpforum @mathhelpforum