
Algebra PreAlgebra and Basic Algebra Math Forum 
 LinkBack  Thread Tools  Display Modes 
June 28th, 2017, 10:08 AM  #1 
Newbie Joined: Jun 2017 From: Wisconsin Posts: 15 Thanks: 0  Help with finding the Least Common Multiple(I think)
I'm working on some algebra, the GaussJordan method by solving the systems of equations. In my matrix I have 4 in the first row second colum and 26 in the second row second column. The example wants to change 4 to 0 which I understand but I'm not sure how they go about it with the math. The example indicates: 2R2 + 13R1 > R1 How did they know to multiply 4 by 13 and 26 by 2? 
June 28th, 2017, 10:12 AM  #2 
Senior Member Joined: Feb 2010 Posts: 663 Thanks: 119 
Post the entire problem.

June 28th, 2017, 10:22 AM  #3 
Newbie Joined: Jun 2017 From: Long Beach Posts: 20 Thanks: 0 
you're looking for LCM of 4 and 26. to find the the smallest number (not zero) that is a multiple of both 4 and 26, you should write each number in terms of a product of prime numbers: 4=2*2=2^2 26=2*13 then LCM is the product of multiplying the highest power of each prime number together LCM(4,26)=LCM(2^2*13^0, 2^1*13^1)=2^2*13^1= 52 which means you have to multiply 4 by 13 and 26 by 2.. 
June 28th, 2017, 10:23 AM  #4 
Newbie Joined: Jun 2017 From: Wisconsin Posts: 15 Thanks: 0 
Use the Gauss Jordan method to transform the matrix: 3 4 = 1 5 2 = 19 
June 28th, 2017, 12:15 PM  #5 
Newbie Joined: Jun 2017 From: Wisconsin Posts: 15 Thanks: 0 
Thank you!


Tags 
common, finding, multiplei 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Product Of The Least Common Multiple and Greatest Common Factor Of Whole Numbers  EvanJ  Elementary Math  1  October 25th, 2015 08:06 AM 
Need help with Highest Common Factor and Lowest Common Multiple QUestion  blurgirl  Elementary Math  5  July 15th, 2014 07:07 AM 
Least Common Multiple  kriseldamae.yap  Number Theory  2  September 19th, 2012 08:48 PM 
Least common multiple  rose3  Number Theory  1  March 1st, 2010 05:57 AM 
New results : Least Common Multiple & Greatest Common Diviso  Yuly Shipilevsky  Number Theory  5  March 20th, 2009 11:37 AM 