Find-the-LCM-14a-2-b-3-c-4-20ab-4-c-4-and-35a-5-b-3-c-

Question Number 177930 by Spillover last updated on 11/Oct/22

Find the LCM

{14 a}^{2} b^{3} c^{4}, {20 ab}^{4} c^{4} and

{35 a}^{5} b^{3} c

Answered by Ar Brandon last updated on 11/Oct/22

\begin{array}{ccccccccccc} a b c & 14 a^{2} b^{3} c^{4} & 20 {a b}^{4} c^{4} & 35 a^{5} b^{3} c \\ b^{2} & 14 {a b}^{2} c^{3} & 20 b^{3} c^{3} & 35 a^{4} b^{2} \\ b & 14 {a c}^{3} & 20 {b c}^{3} & 35 a^{4} \\ c^{3} & 14 {a c}^{3} & 20 c^{3} & 35 a^{4} \\ a & 14 a & 20 & 35 a^{4} \\ a^{3} & 14 & 20 & 35 a^{3} \\ 7 & 14 & 20 & 35 \\ 5 & 2 & 20 & 5 \\ 2 & 2 & 4 & 1 \\ 2 & 1 & 2 & 1 \\ 1 & 1 & 1 \end{array}

L . C . M = a b c \times b^{2} \times b \times c^{3} \times a \times a^{3} \times 7 \times 5 \times 2 \times 2

= 140 a^{5} b^{4} c^{4}

Commented by Spillover last updated on 11/Oct/22

Thank you very much . you have

done the question in a short time

Answered by Spillover last updated on 11/Oct/22

14, 20 35 LCM = 140

a^{2} a a^{5} LCM = a^{5}

c^{4}, c^{3} c LCM = c^{4}

LCM = 140 \times a^{5} \times a^{4}