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Greatest Common Factor and Least Common Multiples GCF and LCM

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Greatest Common Factor and Least Common Multiples. GCF and LCM ... Give me an example of a multiple of 15. How would you find the GCF of 60 and 96? ... – PowerPoint PPT presentation

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Title: Greatest Common Factor and Least Common Multiples GCF and LCM


1
Greatest Common Factor and Least Common
MultiplesGCF and LCM
2
What is the difference between a factor and a
multiple?
3
Give me an example of a factor of 15
4
Give me an example of a multiple of 15
5
How would you find the GCF of 60 and 96?
6
There are actually 2 ways. You can use prime
factorization, or write out all the prime
factors for each number.
7
List the factors of 601,2,3,4,5,6,10,12,15,20,3
0,60List the factors of 961,2,3,4,6,8,12,16,24
,32,48,96find the largest factor - 12
8
or do prime factorization. Circle all the
primes the 2 numbers have in common and multiply
one set of them to get your GCF.
96
60
48
2
2
30
24
2
15
2
12
2
3
5
6
2
2 x 2 x 3 12
2
3
9
Find the GCF (HCF) of 36, 24, 144 and 96
10
96
24
36
48
2
2
12
18
2
24
2
6
9
2
2
12
2
3
2
3
3
6
2
144
2
3
12
12
3
4
2 x 2 x 3 12
3
4
2
2
2
2
11
There are 2 ways to find the LCM as well. You
can list the multiples of the numbers or do prime
factorization. Find the LCM of 12 and 18
12
Multiples of 12 are12,24,36,48,60,72,.Multip
les of 18 are18,36,54,72,90,108,The
smallest multiple the 2 numbers have in common is
the least common multiple.
13
or do prime factorization. Write down the
number they have in common only once, then write
down the leftover numbers. Multiply them all
together.
12
18
9
4
2
3
3
3
2
2
Numbers in common are 2 and 3 Leftover numbers
are 2 and 3 2 x 3 x 2 x 3 36
14
Find the LCM of 35, 420 and 245
15
245
35
420
42
5
49
10
5
7
5
7
7
2
6
7
2
3
Numbers they have in common 5 and 7 Leftover
numbers 2, 3, 2, 7 Multiply them all together
5 x 7 x 2 x 3 x 2 x 7 2940
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