Find the gcf of 27,36 and 72
and the lcm of 7,4,10 and 12
show work 10 points

First let's find the GCF of 27, 36, and 72:
-->Find the factors of each number:
27: 1, 3, 9, 27
36: 1, 2, 3, 4, 9, 12, 18, 36
72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
-->Now look for the factors they have in common.
1, 3, and 9
-->Now see which one is the biggest number in value
9
--> So therefore, 9 is the GCF

Now let's find the LCM of 7, 4, 10, and 12
-->Start listing all the multiples of of each number
4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40... 420
7: 7, 14, 21, 28, 35, 42, 49, 56, 64, 70... 420
10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 120... 420
12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120... 420
(sorry got bored of typing so I fast forwarded at the '...'s)
--> The least number in value that they have in common is the LCM of those numbers
The LCM is 420

*Just saying that took forever to do that LCM part but not way too long thank goodness :p

LCM= 420
 When you list the numbers and their multiples, you keep on listing it until you get a same #.
GCF= 9
The GCF is 9. Try the birthday cake method- :0

First, put all the #s together and organized on a rectangular box. 

Then, see what goes into all of the #s. Write that # down on the left side of the "cake" (the box).
 Keep on doing it until their is no common # that goes into them both. 
 
You then add all of the #s that are on the side of the birthday cake.

*If that is the only # that goes into the #s, it is just that #.