Question

Find the least perfect squre number which is exactly divisible by 5, 14, and 21.

Answer 1

Answer:

StepFind the least perfect squre number which is exactly divisible by 5, 14, and 21.-by-step explanation:

Find the least perfect squre number which is exactly divisible by 5, 14, and 21.Find the least perfect squre number which is exactly divisible by 5, 14, and 21.Find the least perfect squre number which is exactly divisible by 5, 14, and 21.Find the least perfect squre number which is exactly divisible by 5, 14, and 21.Find the least perfect squre number which is exactly divisible by 5, 14, and 21.Find the least perfect squre number which is exactly divisible by 5, 14, and 21.Find the least perfect squre number which is exactly divisible by 5, 14, and 21.Find the least perfect squre number which is exactly divisible by 5, 14, and 21.Find the least perfect

Answer 2

SOLUTION :

$\bigstar$ Firstly, We get L.C.M of 5, 14 and 21.

$\begin{array}{r|l} 2 & 5,14,21 \\ \cline{2-2} 3 & 5,7,21 \\ \cline{2-2} 5 & 5,7,7 \\ \cline{2-2} 7 & 1,7,7\\ \cline{2-2} & 1,1,1\end{array}$

∴ L.C.M = 2 × 3 × 5 × 7

For perfect square :

We will multiply by 2 , 3 , 5 & 7 so,

⇒ 2² × 3² × 5² × 7²

⇒ 4 × 9 × 25 × 49

⇒ 44100

Thus,

44100 is a perfect square .