Question

If x = 103, then the LCM of \(x^2 - 4\) and \(x^2 - 5x + 6\) is

(a) 105105

(b) 1051050

(c) 106050

(d) 212100

Answer 1

Correct option : (d) 212100

\(x^2 - 4 =(103)^2 -4 =10609 -4=10605\)

\(x^2 - 5x + 6 = (103)^2 -5 \times 103 +6 =10609 -515+6\)

\(=10615-515=10100\).

\(\because 10605 = 101 \times 5 \times 21\) & \(10100 = 101 \times 5 \times20\)

\(\therefore\) LCM of 10605 & 10100 \(=101 \times 5 \times 20\times21 =212100\).