Okay, here is the officially dumbest question I will ever ask... Can someone help me remember GCF and LCM basics... Oh boy, I feel dumb... :/
How many times the largest number appears in a number = GCF , as LCM is the opposite and you must find the least times that number appears.
With exception of division... sorry for my translation. Maybe a more experienced person will write an answer more understandable.
Pick a couple of numbers and I'll give an example of how I find the LCM.
GCF: take each number and break it down into factors, find largest number they have in common \[15 = 5*3\] \[25 = 5*5\] largest number in common is 5, so GCF of 15 and 25 is 5 LCM: take multiples of each number, find the smallest multiple they all have in common \[6 \rightarrow 6,12,18,24...\] \[8 \rightarrow 8,16,24,32...\] smallest multiple is 24, LCM of 6 and 8 is 24
The LCM and the GCF for two numbers are related. \[\large LCM(a,b) = \frac{|a\cdot b|}{GCF(a,b)}\]
Okay... ThanKS!!!
There's another interesting way to find the GCF of two numbers: http://en.wikipedia.org/wiki/Euclidean_algorithm
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