Question

What is the smallest perfect square divisible by given number is 3 4 5 and 6

Answer 1

Answer:

The Required perfect square is 900.

Step-by-step explanation:

To find : The smallest perfect square divisible by 3,4,5,6 ?

Solution :

First we take LCM of 3,4,5,6,

2 | 3 4 5 6

2 | 3 2 5 3

3 | 3 1 5 3

5 | 1 1 5 1

| 1 1 1 1

LCM(3, 4, 5, 6) = 2\times 2\times 3\times 5LCM(3,4,5,6)=2×2×3×5

In LCM, 3 and 5 are not in pairs so we should multiple it by 3 and 5.

i.e. 60\times 15=9060×15=90

The Required perfect square is 900.