Question

It says, "or use prime factorization" #1-3, and 5 pls!!

Answer 1

The LCM (lowest common multiple) of the following;

(1) 5 and 7

5 = 1 x 5

7 = 1 x 7

LCM = 1 x 5 x 7

LCM = 35

(2) 4, 5 and 10

4 = 2 x 2

5 = 1 x 5

10 = 2 x 5

LCM = 2 x 2 x 5

LCM = 20

(3) 6, 9 and 12

6 = 2 x 3

9 = 3 x 3

12 = 2 x 2 x 3

LCM = 2 x 2 x 3 x 3

LCM = 36

Find the LCD (lowest common denominator) of the fractions,

`\begin{gathered} (3)/(8),(3)/(5) \\ We\text{ take the LCM of the denominators, that is 8 and 5} \\ \text{The LCM is,} \\ 5=1*5 \\ 8=2*2*2 \\ \text{LCM}=2*2*2*5 \\ \text{LCM}=40 \\ \text{The fractions can now be re-written as } \\ (15)/(40)\text{ and }(24)/(40) \end{gathered}`