Question

17. Find the smallest square number which is divisible by each of the numbers 4, 5 6 and 12​

Answer 1

Answer:

900

Step-by-step explanation:

4 = 2*2

5 = 5*1

6 = 2*3

12 = 2*2*3

In a square number, the prime factors can be grouped into pairs.

Therefore, it can be concluded that the required smallest square no. will have one pair each of 1, 2, 3, 5.

The required smallest square no. = 1*1*2*2*3*3*5*5

                                                        = 1*4*9*25

                                                        =900