User talk:Suugaku RSB

I wish to eventually post the following:

This is the method that this mathematics tutor utilizes to have his students arrive at the lowest common multiple (LCM). It is called the Brieske Box Method and was developed in 2011. This method also works for students to find the lowest common denominator (LCD).

Student will either draw boxes or will be given a worksheet with the boxes already there.

Given any amount of numbers, student will place them vertically on the left most box, using as many rows as needed. For this example, we will use four numbers, 15, 21, 26, and 27. Numbers TO BE FACTORED  PRIME factor #1   PRIME factor #2   PRIME factor #3    PRIME factor #4    PRIME factor #5    PRIME factor #6    PRIME factor #7 15							21							26							27

As can be seen on the table depicted above, the student must now find all the prime factors for each number and place them into columns by themselves. If one number has the same prime factors as another number, that number will be placed in the same column as the previous number. However, be sure not to double up in the same column; each individual prime factor must have their own column (see the prime factors for 27 below).

Numbers to be factored   PRIME factor #1    PRIME factor #2    PRIME factor #3    PRIME factor #4    PRIME factor #5    PRIME factor #6    PRIME factor 7 15     	3               	5					21	        3	                         	7				26	                                                		    2	              13		27       	3                                                               				  3	            3

Once this is done (designating each prime factor to a column), the student should take each separate column and pull out the prime factor. In the above case, that would be 3, 5, 7, 2, 13, 3, and 3. Mulitiplying this together (3x5x7x2x13x3x3) creates the lowest common multiple. Thus, the lowest common multiple for the numbers 15, 21, 26, and 27 is equal to 3x5x7x2x13x3x3 or 24570. When the student becomes more proficient at the process, the boxes will not be necessary. Another use for the Brieske Box Method is when you are trying to get rid of a denominator by multiplying by the LCM. For instance, in order to find x in the equation—1/15 + 1/21 + 1/26 + 1/27 = x, you would have to multiply the entire equation by the LCM/LCD or 24570. Using the Brieske box, you would only have to multiply those columns that are empty for each denominator. Thus, the equation becomes—(7*2*13*3*3 + 5*2*13*3*3 + 3*5*7*3*3 + 5*7*2*13 = 24570x). This then equates to: 1638 + 1170 + 945 + 910 = 24570x or 4663 = 24570x. Once you divide 4663 by 24570 you will find that x is equal to 4663/24570. Suugaku RSB (talk) 05:55, 4 March 2015 (UTC)

Your submission at Articles for creation: sandbox (March 15)
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(t) Josve05a  (c) 09:22, 15 March 2015 (UTC)