Can you solve it?

Algebra Level 5

\[ | ab(a^{2} - b^{2}) + bc(b^{2} - c^{2}) + ca(c^{2} - a^{2}) | \leq M(a^{2} + b^{2} + c^{2})^{2} \]

Determine the least real number \(M\) such that the inequality above holds for all real numbers \(a,b\) and \(c\).

Give your answer to 2 decimal places.

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