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Mathematics 9 Online
OpenStudy (anonymous):

least common multiple for 12,32, 42

OpenStudy (anonymous):

So what number can all of these numbers be multiplied by another number so that they all get the same number?

OpenStudy (anonymous):

i dont know thats why i asked you guys and girls

OpenStudy (anonymous):

GAWD im typing random things into my calc and it looks like the only way to find it is to multiply them all together (: so 12 * 32 * 42 = 16128 So thats your least common multiple i think..

OpenStudy (anonymous):

thats not right it is 672

OpenStudy (anonymous):

ohhhh.... :P thanks! lol sorry about that mike (:

OpenStudy (anonymous):

you sure rsvitale

OpenStudy (anonymous):

you want the least positive integer that is a integer multiple of all of the arguments

OpenStudy (anonymous):

thank you

OpenStudy (anonymous):

yep im sure do you want to know how to find it?

OpenStudy (anonymous):

please

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

ok you can start by taking the largest integer in the argument. You multiply it by 1 and see if the other numbers divide evenly into the result. If they do you are done and 1*largest is your least common multiple. If not you multiply by 2 and check if the other two divide evenly in. You repeat this until you find an integer that all arguments divide evenly into, and the first integer that this happens for is your least common multiple. So in your example 42*16 is the first integer multiple of the largest number that all arguments divide evenly into.

OpenStudy (anonymous):

does this make sense?

OpenStudy (anonymous):

whats an interger?

OpenStudy (anonymous):

integers are 0,1,-1,2,-2,3,-3,4,-4.... positive integers are 1,2,3,4,5,6... you are using positive integers here.

OpenStudy (anonymous):

they are whole numbers

OpenStudy (anonymous):

thank you\

OpenStudy (anonymous):

yep :)

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