Question

Find the smallest square number divisible by each one of the numbers 8,9and10​

Answer 1

Answer :

The smallest square number divisible by 8,9 and 10 = 3600.

Step-by-step explanation :

Given that :

The smallest square number divisible by each one of the numbers 8,9 and 10​.

To Find :

The smallest square number.

Solution :

We have :

=> 8, 9 & 10.

We have to find LCM.

Reason :

As given in question we have to find the smallest square number and LCM Stands for Least Multiple Number.

So,

★ 8, 9 & 10 :

$\begin{array}{r|l} 2 & 8,9,10 \\\cline{1-2} 2 & 4,9,5 \\\cline{1-2} 2& 2,9,5 \\\cline{1-2} 3 & 1,9,5 \\\cline{1-2} 3 & 1,3,5 \\\cline{1-2} 5 & 1,1,5\\\cline{1-2} & 1,1,1\end{array}$

L.C.M = 2 × 2 × 2 ×3 × 3 × 5.

$\bigstar\;\textbf{\underline{\underline{Remember - }}}$

2 and 5 are not in pairs multiply by 2 & 5 to make it a perfect square.

The smallest number =3 60 × 2 × 5 = 3600.

$\bigstar\;\textbf{\underline{\underline{The smallest square number divisible by 8,9,10 = 3600. }}}$

Answer 2

$\huge{\mathfrak{\underline{\underline{Answer}}}}$

Given:-

Numbers are 8 , 9 and 10

Solution:-

Find LCM of 8,9 and 10

[As shown in the attached pic]

LCM = 2 × 2 × 2 × 3 × 5

LCM = 360

____________________

So, the smallest square divisible by 8,9 and 10 is :-

» 360 × 5 × 2

» 3600

Answer = 3600