Find the lcm of 5 and 12. show your work. (3 points) part b: find the gcf of 72 and 81. show your work. (3 points) part c: using the gcf you found in part b, rewrite 72 + 81 as two factors. one factor is the gcf and the other is the sum of two numbers that do not have a common factor. show your work. (4 points)

Ques 1)

The LCM of 5 and 12 is:

                            60

Ques 2)

GCF of 72 and 81 is: 9

Ques 3)

        72 + 81 =9 (8+9)

Ques 1)

We know that the LCM (least common multiple) of two numbers is calculated by :

Here we have two numbers as:

5   and  12

5=5×1

and 12=2×2×3×1

Hence, LCM(5,12)=2×2×3×5×1=60

Ques 2)

We know that GCF(greatest common factor) are the multiplication of the factors which are common to both the numbers.

                 72=1×2×2×2×3×3

                 81=1×3×3×3×3

Hence, we have:

GCF(72,81)=1×3×3=9

Ques 3)

72+81 could be written as:

72+81=9(8+9)

Hence, 8 and 9 don't have a common factor.

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