If we write all the given numbers in a form (10a + b), b will turn out to be the unit’s digit here.
So when we multiply all the given numbers, the unit’s digit in the product will be nothing but the product of all unit’s digits, irrespective of what the other digits in the number are.
3 × 9 = 27 → 7
7 × 1 = 7 → 7
7 × 2 = 14 → 4
∴ Digit at unit’s place is 4