i got 660 and i understand that the lcm is the smallest number that all the numbers will go into and with the 31 it will only go into 1

Question

i got 660 and i understand that the lcm is the smallest number that all the numbers will go into and with  the 31 it will only go into 1

amistre64 · Answer

the reply box is this one down here on the bottom right of the screen

amistre64 · Answer

its got a post button, an equation button, and this area here to type in

anonymous · Answer

Im sorry

amistre64 · Answer

its easier to have a conversation within the confines of a single post rather than have it strewn across multiple postings :)

amistre64 · Answer

thats better :)

anonymous · Answer

im having problems finding the lcm and the gcf for the ages 10,31 and 44 can you please explain

amistre64 · Answer

22 10 31 was our numbers right?

amistre64 · Answer

44 10 and 31

anonymous · Answer

yes and can you explain as you go

amistre64 · Answer

hmmm, one method is to break the numbers into prime factors  does that make sense?

amistre64 · Answer

22 = 2,11

10 = 2,5

31 = 1,31

anonymous · Answer

yes and i have the numbers broke down

anonymous · Answer

can you tell me if im right

zarkon · Answer

GCD(10,31,44 )=GCD(GCD(10,31),44)=GCD(1,44)=1

anonymous · Answer

hang on

anonymous · Answer

11*4= 44
2*5=10
31=31*1

amistre64 · Answer

4 is not prime, break it again into 2*2

11*2*2 = 44

the others are good

anonymous · Answer

okay

anonymous · Answer

okay  now from there i need to find the LCM

anonymous · Answer

MY LEAST COMMON FACTORS ARE (10,31 and 44)

amistre64 · Answer

2*2*11: two 2s, one 11

2*5 : one 2, one 5

1*31: one 1, one 31

since the 2s come up twice:  one 2, and two 2s   we take one that has the most:  two 2s

the rest of the primes occur once so they are just admitted in:

1*2*2*5*11*31

anonymous · Answer

so my lcm is 2

amistre64 · Answer

this is a common way of explaining it; but I dont like it.  I perfer my own method

amistre64 · Answer

no, your lcm is what we get in the end of it, not halfway thru

anonymous · Answer

660

anonymous · Answer

after timing everything

amistre64 · Answer

what I like to do is make fractions out of our numbers:
$$\frac{1}{44},\frac{1}{10},\frac{1}{31}$$
and add them up to equal some arbitrary number.

$$\frac{1}{44}+\frac{1}{10}+\frac{1}{31}=N$$
then I start clearing fractions and reducing as I go

amistre64 · Answer

this to me makes alot more sense

anonymous · Answer

okay slow down

anonymous · Answer

sorry  writing steps so i dont forget

anonymous · Answer

are you there