Question 3: Find LCM of the following expressions by using prime factorization method:
\((i)\) \(\;\) \( 2a^2b,4ab^2,6ab\)
Solution:
$\displaystyle 2a^{2} b=2\times a\times a\times b$
$\displaystyle 4ab^{2} =2\times 2\times a\times b\times b$
$\displaystyle 6ab =2\times 3\times a\times b$
$\displaystyle \text{Common Factors} =2\times a\times b=2ab$
$\displaystyle \text{Non-Common Factors}$$\ =\ $$2\times 3\times a\times b=6ab$
$\displaystyle \text{LCM}$$\ =\ $$\text{Common Factors} \times \text{Non Common Factors}$
$\displaystyle \text{LCM} =2ab\times 6ab$
$\displaystyle \text{LCM} =12a^{2} b^{2}$