More $x$ 's Please!!!

$24\times 35\times 46\times 57\quad =\quad { 2 }^{ 4 }\times { 3 }^{ 2 }\times 5\times 7\times 19\times 23\\ largest\quad perfect\quad square\quad =\quad { 2 }^{ 4 }\times { 3 }^{ 2 }\quad =\quad { 12 }^{ 2 }\quad \\ so\quad the\quad answer\quad is\quad 12$