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,
[tex]\begin{gathered} \frac{3}{8},\frac{3}{5} \\ We\text{ take the LCM of the denominators, that is 8 and 5} \\ \text{The LCM is,} \\ 5=1\times5 \\ 8=2\times2\times2 \\ \text{LCM}=2\times2\times2\times5 \\ \text{LCM}=40 \\ \text{The fractions can now be re-written as } \\ \frac{15}{40}\text{ and }\frac{24}{40} \end{gathered}[/tex]
