Question #63313

1 Answer
David Drayer
Oct 17, 2017

90, 180, 270 .....

Explanation:

To find the common multiples, multiply all common factors together.

# 3 = 3xx 1#
# 9 = 3 xx 3 xx 1#
# 6 = 3 xx 2 xx 1#
# 5 = 5 xx 1#

Nine need 2 threes so there are two factors of 3 ( the one factor of 3 for 3 is not unique )
Six needs a factor of 2 ( the 3 is not unique)
five needs s factor of 5

The Least Common Multiple is then

# 3 xx 3 xx 2 xx 5 = 90#

Any multiple of 90 is a multiple of the four numbers so

# 90 xx 2 = 180#
# 90 xx 3 = 270#
#90 xx 4 #

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