Least Common Multiple (LCM) & Greatest Common Division (GCD)

1. , August 2014 Least Common Multiple (LCM) & Greatest Common Division (GCD) Nita Agustin www.ajwmathematics.wordpress.com

2. , August 2014 Indicator : • Dapatmenentukan KPK bentukaljabarsukutunggal. • Dapatmenentukan FPB bentukaljabarsukutunggal. • Dapatmenggunakan KPK untukmenyamakanpenyebutaljabarbentukrasional. • Dapatmenggunakan FPB untukmenyamakanpenyebutaljabarbentukrasional. www.ajwmathematics.wordpress.com

3. , August 2014 Definition : • Least Common Multiple (LCM) is multiplication product of prime factors of the algebraic forms. • Greatest Common Division (GCD) is multiplication product of the same prime factors of the algebraic forms. www.ajwmathematics.wordpress.com

4. , August 2014 Do you remember? Determine the LCM from: • 8 and 64 • 13 and 7 • 152 and 23 Determine the GCD from: • 86 and 18 • 17 and 63 • 24 and 38 www.ajwmathematics.wordpress.com

5. Determine the LCM from: • 8 and 64 LCM = 2. 13 and 7 LCM = 3. 152 and 23 LCM = www.ajwmathematics.wordpress.com

6. LCM and GCD algebra form a single tribe Determine the LCM and GCD of and • Prime factors is equal to highest rank are and • Prime factors is equal to lowest rank are . LCM = GCD = www.ajwmathematics.wordpress.com

7. , August 2014 Determine the GCD from: • 86 and 18 GCD = 2. 17 and 63 GCD = 3. 24 and 38 GCD = www.ajwmathematics.wordpress.com

8. Using LCM to equalize the denominators of rational algebraic form Equate the denominator from and Find the LCM from and Prime factors is equal to highest rank are LCM = www.ajwmathematics.wordpress.com

9. Using GCD to simplify the algebraic form Simplify the form of Find the GCD from and Prime factors is equal to lowest rank are and GCD = So the simplify form of is www.ajwmathematics.wordpress.com

10. Algebraic simplify rational shaped composite • Simplify the form of • Simplify the form of www.ajwmathematics.wordpress.com