Six cards are written with six different prime numbers. The sum of three fractions made up of these six numbers is a / 1001, where a is a natural number. What is the minimum value of a?

Six cards are written with six different prime numbers. The sum of three fractions made up of these six numbers is a / 1001, where a is a natural number. What is the minimum value of a?

According to the meaning of the title:
W/X+N/Y+Q/Z=A/1001
(WYZ+XZN+XYQ)/XYZ=A/1001
That is XYZ = 1001; wyz + xZn + xyq = a
Factoring 1001 into 7 * 11 * 13 = XYZ
analysis:
To minimize the value of a, only wnq is required to be the minimum prime number and the product of wyz + xZn + xyq is the minimum
WYZ+XZN+XYQ=2*13*11+3*7*13+5*7*11
The minimum value of a is 944