Question

12. If a =
${2}^{3 } \times 3$
b = 2x3x5, c =
${3}^{n} \times 5$
LCM
(a, b, c) = 23x32x5, then n =
with​

Answer 1

$a = {2}^{3} \times 8 = 64$

$b = 2 \times 3 \times 5 = 30$

$c = {3}^{n}$ \times 5

LCM = 23*32*5 = 3680

${3}^{n - 1} = \frac{3680}{960} = \frac{46}{7}$