My Math Forum Help with finding the Least Common Multiple(I think)

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 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 Gauss-Jordan 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!

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