Question

Find the LCM of $14a^2{b}^3{c}^4,20a{b}^4{c}^{3}and35a^5{b}^{3}c$

• A. $140a^5{b}^4{c}^4$
• B. $140a^5{b}^4{c}^3$
• C. $140a^5{b}^5{c}^4$
• D. $140a^4{b}^4{c}^4$

Answer 1

The correct option is A $140a^5{b}^4{c}^4$

LCM of $14,20$ and $35=2\times 5\times 7\times 2=140$
LCM of $a^2,a$ and $a^5=a^5$
LCM of $b^3,b^4$ and $b^3=b^4$
LCM of $c^4,c^3$ and $c=c^4$
LCM of $14a^2{b}^3{c}^4,20a{b}^4{c}^{3}and35a^5{b}^{3}c=140a^4{b}^4{c}^4$