Question

Find the least number of soldiers in a regiment such that they stand in rows of 15, 20, 25 and
form a perfect square. Use prime factorization method​

Answer 1

Here is u r answer

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Ans:- 300

Answer 2

Given data: 15, 20 and 25

To find: Perfect square using prime factorization method

Solution:

First we need to find the LCM of the given three numbers.

15 = 5 × 3

20 = 5 × 4

25 = 5 × 5

The LCM of (15, 20, 25) = 5 × 3 × 4 × 5 = 300.

Now to find the perfect square we need to take LCM of 300.

300 = 5 × 5 × 3 × 2 × 2

The Least  number is 3. So, we need to multiple the LCM of (15, 20, 25) by 3 (300 × 3 = 900).

Hence the perfect square using prime factorization method is 900.