Monday, September 15, 2014

What is the common and least multiples of 3 and 6?i want to know how to answer the question!

To find LCM (3,6).


If n is
the LCM(a, b), then n is the least possible number that could be divided by both a and
b.


Finding LCM
(3,6):


Multiples of 3:     3    ,    6,     9,     
12,......


Multiple  of 6 :      6,       12,    18,   
24,............


We see that  set {6, 12, 18,.....} appears
in both sets of multiple.


So any  number in the set {6, 
12,   18,   24,.........} is a common multiple of 3 and
6.


Low find the least number among  the common mulples  set
{6,   12,   18,   24,........}. So obviuosly 6 is the
least.


So 6 is the least common multiple of  3 and 6. Or
LCM(3,6) = 6.

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