Question

Find the smallest perfect square divisible by 2, 3, 4 and 5.

Answer 1

Answer:

2

Step-by-step explanation:

2 is the perfect square

Answer 2

Step-by-step explanation:

Given :

Perfect square divisible by 2, 3, 4 and 5.

Find :

The required least squared number.

Solution :

The LCM of 2, 3, 4 and 5 is 60.

The least number divisible by 2, 3, 4 and 5 is their LCM, = 60

Now :

60 = 2 × 2 × 3 × 5 = 2² × 3 × 5.

Clearly :

multiplying 60 by 3 × 5 = 15 makes it a perfect square.

Thus :

60 × 15 = 2² × 3² × 5².

Hence :

The required least squared number is 60 × 15 = 900.

Brainly Question Number :

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