The Ladder Method d n a F C
- Slides: 11
The Ladder Method d n a F C G , D C s L n o g i t in c d a n r i F F g r n o i F y f i l p m i S y. A Beck f USD B L , i ghan 003 ce, 2 i f f lum O M ricu r u C ath
The Ladder Method. . . is a method of factoring which allows you to factor two numbers at once in order to… • find the LCM of the two numbers • find the GCF of the two numbers Becky Afghani, LBUSD Math Curriculum Office, 2003
Use the ladder to factor 6 and 8 You will divide out any common factors of the two numbers What number goes Now divide both Does any 6#and besides 1 into both 8? 6 and 8 both by the 2 done. No? Then you go into 3 are and 4? Becky Afghani, LBUSD Math Curriculum Office, 2003
Let’s find the Least Common Multiple (LCM) of 6 and 8 The LCM is the product of all the numbers on the left and the bottom. The LCM of 6 and 8 is 24. Becky Afghani, LBUSD Math Curriculum Office, 2003
Which numbers in the ladder give you the LCM? The “L” shape gives you the LCM: multiply the numbers on the left and bottom. Becky Afghani, LBUSD Math Curriculum Office, 2003
What about the Greatest Common Factor (GCF) of 6 and 8? The GCF is the product of all the numbers on the left. The GCF of 6 and 8 is 2. Becky Afghani, LBUSD Math Curriculum Office, 2003
Which numbers in the ladder give you the GCF? Multiply the numbers on the left only for the GCF. Becky Afghani, LBUSD Math Curriculum Office, 2003
Let’s try some bigger numbers. Divide out all the common factors down the left side. What number goes intoany both Does # 24 besides and 60? 1 go intoabout both How 12 and 15? 30? 6 and Anything else? No? You’re done. Becky Afghani, LBUSD Math Curriculum Office, 2003
Find the LCM. The LCM of 24 and 60 is 120. x x = 120 Becky Afghani, LBUSD Math Curriculum Office, 2003
Find the GCF. The GCF of 24 and 60 is 12. x 12= x Becky Afghani, LBUSD Math Curriculum Office, 2003
Practice. Find the LCM and GCF for 28 and 42. LCM = 2 7 2 3 = 84 GCF = 2 7 = 14 Becky Afghani, LBUSD Math Curriculum Office, 2003
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