Addition Everyman Accepted Assorted

travelappsios lifestyleappsios utilitiesappsios
 06 October 06:18   To acquisition the Everyman Accepted Assorted (LCM) of several numbers, we first accurate anniversary amount as a artefact of its prime factors.

    For example, if we ambition to acquisition the LCM of 60, 12 and 102 we write

    


    egin

    60=2^2 cdot 3 cdot 5 12=2^2 cdot 3 102=2 cdot 3 cdot 17

    end

    


    The artefact of the accomplished ability of anniversary altered agency appearing

    is the LCM.

    For archetype in this case, 2^2cdot3cdot5cdot17=1020. You can see that 1020 is a assorted of 12, 60 and 102 ... the everyman accepted assorted of all three numbers.

    Another example: What is the LCM of 36, 45, and 27?

    Solution: Factorise anniversary of the numbers

    


    egin

    36=2^2cdot3^245=5cdot3^2 27=3^3

    end

    


    The artefact of the accomplished ability of anniversary altered agency appearing

    is the LCM, i.e;

    
2^2cdot5cdot3^3=540


    If the LCM of the numbers is begin and 1 is subtracted from the LCM then the butt if disconnected by anniversary of the numbers whose LCM is begin would accept a butt that is 1 beneath than the divisor.

    For archetype if the LCM of 2 numbers 10 and 9 is 90.

    Then 90-1=89 and

    89 disconnected by 10 leaves a butt of 9 and the aforementioned amount disconnected by 9 leaves a butt of 8.

    

 


Tags: product, different, example, numbers, common, factor

 cdot, multiple, numbers, remainder, common, example, lowest, divided, product, , common multiple, lowest common, lowest common multiple, different factor appearingis, arithmetic lowest common,

Share Addition Everyman Accepted Assorted:
Digg it!   Google Bookmarks   Del.icio.us   Yahoo! MyWeb   Furl  Binklist   Reddit!   Stumble Upon   Technorati   Windows Live   Bookmark

Text link code :
Hyper link code:

Also see ...

Permalink
Article In : Reference & Education  -  Mathematics