Evaluate the expression: (4 x 6 x 10 x 14) ( (1)/(4) + (1)/(6) + (1)/(10) + (1)/(14) )

The expression is:

Let $P = 4 \times 6 \times 10 \times 14$.
The expression becomes:

Substitute $P$ back into each term:

Term 1: $\frac{4 \times 6 \times 10 \times 14}{4} = 6 \times 10 \times 14$
Term 2: $\frac{4 \times 6 \times 10 \times 14}{6} = 4 \times 10 \times 14$
Term 3: $\frac{4 \times 6 \times 10 \times 14}{10} = 4 \times 6 \times 14$
Term 4: $\frac{4 \times 6 \times 10 \times 14}{14} = 4 \times 6 \times 10$

Term 1: $6 \times 10 \times 14 = 60 \times 14 = 840$
Term 2: $4 \times 10 \times 14 = 40 \times 14 = 560$
Term 3: $4 \times 6 \times 14 = 24 \times 14 = 336$
Term 4: $4 \times 6 \times 10 = 24 \times 10 = 240$

The final answer is 1,976.