 # LCM/GCF

The new way I found to find LCM/GCF is involving listing all the multiples of the number. So, if you are trying to find the LCM of 100 and 102 the first step would be to list out the multiples of 100 starting with 100 * 1. Now since we are dealing with big numbers we can see using calculator that the LCM will be 5100, so instead of listing out all the multiples starting from multiplying by 1 we can multiply by 40.

step 1:  100 * 40 = 4000                     step 2:   102 * 40 = 4080

100 * 41 = 4100                                    102 * 41 = 4182

100 * 42 = 4200                                    102 * 42 = 4284

100 * 43 = 4300                                    102 * 43 = 4386

100 * 44 = 4400                                    102 * 44 = 4488

100 * 45 = 4500                                    102 * 45 = 4590

100 * 46 = 4600                                    102 * 46 = 4692

100 * 47 = 4700                                    102 * 47 = 4794

100 * 48 = 4800                                    102 * 48 = 4896

100 * 49 = 4900                                    102 * 49 = 4998

100 * 50 =5000                                     102 * 50 = 5100

100 * 51 =5100

since 5100 is the lowest multiple both numbers have it is the LCM.

To find the GCF you must find the factors of 100 and 102.

100= 1, 2,4,5,10,20,25,50

102= 1,2,3,6,17,34,51,102

Since the greatest factor both 100 and 102 share is 2 the GCF is 2.

After searching up this new method I still prefer the one we were taught in class because it is way faster and more simple for me to understand.