GCF & LCM -

Monomials

Monomials include VARIABLES!!

For example: 36xy2

GCFUse division and the T chart to find the BIGGEST number they have in common.

Use the SMALLEST exponent numbers for the variables they have in common

LCMUse multiplication and the T chart to find the SMALLEST number they have in common.

Use the BIGGEST exponent numbers for the variables

GCF – greatest common factor

1st - Find the GCF of the numbers2nd - use the smallest exponent of all SHARED variables

GCF – greatest common factor

1st - Find the GCF of the numbers2nd - use the smallest exponent of all SHARED variables

 

GCF – greatest common factor

1st - Find the GCF of the numbers2nd - use the smallest exponent of all SHARED variables

 

GCF = 3___

GCF – greatest common factor

1st - Find the GCF of the numbers2nd - use the smallest exponent of all SHARED variables

 

GCF= 3x_y_

GCF – greatest common factor

1st - Find the GCF of the numbers2nd - use the smallest exponent of all SHARED variables

 

GCF=3x2y2

GCF – greatest common factor

1st - Find the GCF of the numbers2nd - use the smallest exponent of all SHARED variables

 

GCF – greatest common factor

1st - Find the GCF of the numbers2nd - use the smallest exponent of all SHARED variables

 

GCF=5_____

GCF – greatest common factor

1st - Find the GCF of the numbers2nd - use the smallest exponent of all SHARED variables

 

GCF=5a_b_

GCF – greatest common factor

1st - Find the GCF of the numbers2nd - use the smallest exponent of all SHARED variables

 

GCF=5a1b3

OR GCF=5ab3

LCM – least common multiple

1st - Find the LCM of the numbers2nd - use the largest exponents of all variables

LCM – least common multiple

1st - Find the LCM of the numbers2nd - use the largest exponents of all variables

 

LCM – least common multiple

1st - Find the LCM of the numbers 2nd - use the largest exponents of all variables

 

The LCM of 3 and 4 is 12

LCM= 12____

LCM – least common multiple

1st - Find the LCM of the numbers 2nd - use the largest exponents of all variables

 

The LCM of 3 and 4 is 12

LCM= 12x5___

LCM – least common multiple

1st - Find the LCM of the numbers2nd - use the largest exponents of all variables

 

The LCM of 3 and 4 is 12

LCM= 12x5y4

LCM – least common multiple

1st - Find the LCM of the numbers2nd - use the largest exponents of all variables

 

LCM – least common multiple

1st - Find the LCM of the numbers 2nd - use the largest exponents of all variables

 

The LCM of 18 and 10 is 90

LCM= 90______

LCM – least common multiple

1st - Find the LCM of the numbers2nd - use the largest exponents of all variables

 

The LCM of 18 and 10 is 90

LCM= 90x3y1z3

OR LCM= 90x3yz3