What is the least common multiple of 2, 9, and 6?

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Answer 1 · 2017-06-29T05:01:49

#18#.

We list the multiples for each number to detect the least common multiple.

#2-=2 . 4 . 6 . 8 . 10 . 12 . 14 . 16. color(blue)(18) . 20#

#9-=9 . color(blue)(18) . 27#

#6-=6 . 12 . color(blue)(18) . 24#

As we can see, the least common multiple is #18#.

Answer 2 · 2017-06-29T05:07:15

18

The Lowest Common Multiple or LCM is a number which has all of the given numbers as its factors and it is the smallest such number.

In this case, as all three numbers are small, so we can find the LCM directly by trial and error.

Start by checking the multiplication table of the largest number, 9.

#9xx1=9#
#9xx2=18#

Now, #18# is present in the multiplication tables of 2 and 6 as well.
You can check this : #18=2xx3xx3# or #18=2xx9# or #18=6xx3#.