Chapter 4, Problem 9CR

To determine

To find the LCM of the numbers $9a^2{b}^{2}c,15a^2{b}^3,6a^3{b}^2$

Answer to Problem 9CR

Option(d)

Explanation of Solution

Given information: $9a^2{b}^{2}c,15a^2{b}^3,6a^3{b}^2$

Calculation :

The prime factorization of the numbers is:

  $\begin{array}{l}9a^2{b}^{2}c=3^2\times a^2\times b^2\times c\\ 15a^2{b}^3=3\times 5\times a^2\times b^3\\ 6a^3{b}^2=2\times 3\times a^3\times b^2\end{array}$

Hence, the LCM of the given numbers is   $2\times 3^2\times 5\times a^3\times b^3\times c=90a^3{b}^{3}c$