ShmoopTube
Where Monty Python meets your 10th grade teacher.
Search Thousands of Shmoop Videos
Basic Operations Videos 58 videos
Jack and Jill went up the hill to fetch a pail of water. But what happened when they got up there? They’ve been gone an awfully long time…
All You Need to Know about LCM & GCF 749 Views
Share It!
Description:
This video covers Least Common Multiple and Greatest Common Factor. What are they? How do you find them? How does factorization play in?
Transcript
- 00:00
Thank you We sneak l c m and g c
- 00:05
f allah shmoop What are these Mysterious acronyms Top secret
- 00:10
government organizations A new form of text speak or perhaps
- 00:14
a misplaced scrabble tiles Actually they're abbreviations for mathematical concepts
- 00:20
Well l c m is an acronym for least common
Full Transcript
- 00:24
Multiple let's Take a look at that one first Not
- 00:27
so close Let's Back it up a bit boys Keep
- 00:29
he beep There there There we go Uh first we
- 00:33
need to talk about what a multiple is save Got
- 00:35
the number six multiple is any number that can result
- 00:38
from multiplying are given number by any other number For
- 00:41
example you gonna multiply six by one to get six
- 00:44
by to get twelve Buy three to get eighteen by
- 00:47
four to get twenty four and so on Six twelve
- 00:50
eighteen and twenty four are all multiples of six If
- 00:53
you want to find the multiples of eight you can
- 00:55
multiply eight by one to get ate by two to
- 00:58
get sixteen and buy three to get twenty four We
- 01:01
could keep going but we can see you're in a
- 01:03
hurry if you want to find the least common multiple
- 01:05
Of six and a you need to find the smallest
- 01:08
number that shares both numbers as factors as you can
- 01:11
see it's unfortunately not as easy as merely multiplying the
- 01:14
numbers together G c f or greatest common factor is
- 01:18
basically the reverse When looking for a g c f
- 01:21
you need to find the largest number that will divide
- 01:23
evenly into two other Numbers take the numbers 36 and
- 01:27
forty eight okay wiseguy put him back suppose you're given
- 01:30
the number of thirty six and forty eight what factors
- 01:33
that they have in common Well both Numbers are even
- 01:36
so 2 works three is also a factor as our
- 01:39
foreign six but the greatest common factor the granddaddy of
- 01:42
them all is twelve shmoop a good way to find
- 01:47
the gcs is to first use prime factory ization thirty
- 01:51
six breaks down into two times two times three times
- 01:54
three forty eight breaks down into two times two times
- 01:58
two times two times three the Numbers that the 2
- 02:02
have in common are the two twos and a three
- 02:05
multiply those out and voila twelve practice finding l c
- 02:10
m's and gcs on your own and it will pay
- 02:12
Dividends Just don't let the catch you Those guys are 00:02:15.828 --> [endTime] not to be trifled with
Related Videos
It's impressive that these expressions are able to stay so rational even when they're having operations performed on them.
Jack and Jill went up the hill to fetch a pail of water. But what happened when they got up there? They’ve been gone an awfully long time…
Sometimes, we just want fewer y's...or more x's. That's why it's great to know how to add and subtract variables. In real life, though, we try to a...