Answer:
853776
Step-by-step explanation:
First we need to find the least common multiple of these 4 numbers.
Factoring the numbers, we have:
14 = 2 * 7
24 = 2 * 2 * 2 * 3
35 = 3 * 7
77 = 7 * 11
The LCM will be 2 * 2 * 2 * 3 * 7 * 11 = 1848
Then, we need a perfect square number, so we need a number where each prime factor appears an even number of times, so the smallest number we can get is:
2 * 2 * 2 * 2 * 3 * 3 * 7 * 7 * 11 * 11 = 853776
