Question

Least perfect square number, exactly divisible by 21, 36 and 56 is?


a. 3600


b. 504


c. 441


d.

Answer 1

Answer: The answer is 7056

Step-by-step explanation: LCM = 2 x 2 x 2 x 3 x 3 x 7 = 72 x 98 = 7056

Answer 2

Least perfect square number, exactly divisible by 21, 36 and 56 is 7056

Given :

The numbers 21, 36 and 56

To find :

Least perfect square number, exactly divisible by 21, 36 and 56 is

a. 3600

b. 504

c. 441

d. 7056

Solution :

Step 1 of 4 :

Write down the given numbers

The given numbers are 21, 36 and 56

Step 2 of 4 :

Prime factorise the given numbers

21 = 3 × 7

36 = 2 × 2 × 3 × 3

56 = 2 × 2 × 2 × 7

Step 3 of 4 :

Find the LCM

LCM of the numbers

= 2 × 2 × 2 × 3 × 3 × 7

= 504

Step 4 of 4 :

Find the required number

504 = 2² × 2 × 3² × 7

2 and 7 are not in pair form

Hence the required number

= 504 × 14

= 7056

Correction in the question : Least perfect square number, exactly divisible by 21, 36 and 56 is?

a. 3600 b. 504 c. 441 d. 7056

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