What is least common multiple of 3, 4, 6, and 8?

1 Answer
Mar 30, 2016

Least Common Multiple of #3#, #4#, #6# and #8# is #24#.

Explanation:

Multiples of #3# are #{3,6,9.12,15,18,21,24,27,30,33,36,39,42,45,48,51,...}#

Multiples of #4# are #{4,8,12,16,20,24,28,32,36,40,44,48,52,...}#

Multiples of #6# are #{6,12,18,24,30,36,42,48,54,...}#

Multiples of #8# are #{8,16,24,32,40,48,56,...}#

Hence common multiples are #{24,48,...}# and

Least Common Multiple of #3#, #4#, #6# and #8# is #24#.