Q. 94.3( 139 Votes )

Find the smallest square number that is divisible by each of the numbers 4, 9 and 10

Answer :

we know that the number that will be perfectly divisible by each one of 4, 9, and 10 is their LCM.

The LCM of these numbers is:

LCM of 4, 9, 10 = 2 × 2 × 3 × 3 × 5 =180

Here, prime factor 5 does not have its pair


Therefore, 180 is not a perfect square.


If we multiply 180 with 5, then the number will become a perfect square.

Hence,

The required square number is 180 × 5 = 900

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Goprep Genius Quiz | Squares and Square RootsGoprep Genius Quiz | Squares and Square RootsGoprep Genius Quiz | Squares and Square Roots34 mins
RD Sharma | Squares and Square RootsRD Sharma | Squares and Square RootsRD Sharma | Squares and Square Roots39 mins
Squaring Using Geometry.Squaring Using Geometry.Squaring Using Geometry.43 mins
Finding Square Root of Numbers - IFinding Square Root of Numbers - IFinding Square Root of Numbers - I37 mins
Lets learn about Perfect SquaresLets learn about Perfect SquaresLets learn about Perfect Squares40 mins
Know Shortcuts for Square RootKnow Shortcuts for Square RootKnow Shortcuts for Square Root34 mins
Squares of NumbersSquares of NumbersSquares of Numbers35 mins
Champ Quiz | Square and Square rootsChamp Quiz | Square and Square rootsChamp Quiz | Square and Square roots32 mins
NCERT | Interesting Patterns in Square NumbersNCERT | Interesting Patterns in Square NumbersNCERT | Interesting Patterns in Square Numbers36 mins
Champ Quiz | Square Roots and Cube rootsChamp Quiz | Square Roots and Cube rootsChamp Quiz | Square Roots and Cube roots40 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses