From which smallest number we will divide or multiply the following we will get a perfect square
1458,1008,3872,539?

Question

From which smallest number we will divide or multiply the following we will get a perfect square1458,1008,3872,539?

Answer

Smallest number to divide or multiply to get a perfect square

Finding the perfect squares
To find the perfect squares of the given numbers, we need to factorize them first:
- 1458 = 2 * 3^3 * 17
- 1008 = 2^4 * 3^2 * 7
- 3872 = 2^5 * 11^2
- 539 = 7 * 77 = 7 * 7 * 11
Finding the common factors
To find the smallest number that can divide or multiply to get a perfect square, we need to identify the common factors in the factorizations of the given numbers. The common factors are:
- 2 (from 1458 and 1008)
- 3 (from 1458 and 1008)
- 7 (from 1008 and 539)
Multiplying the common factors
To get a perfect square, we need to multiply the common factors identified earlier:
- 2 * 3 * 7 = 42
Conclusion
Therefore, the smallest number that we can divide or multiply to the given numbers (1458, 1008, 3872, 539) to get a perfect square is 42.