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

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 Roots34 mins  RD Sharma | Squares and Square Roots39 mins  Squaring Using Geometry.43 mins  Finding Square Root of Numbers - I37 mins  Lets learn about Perfect Squares40 mins  Know Shortcuts for Square Root34 mins  Squares of Numbers35 mins  Champ Quiz | Square and Square roots32 mins  NCERT | Interesting Patterns in Square Numbers36 mins  Champ 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 view all courses RELATED QUESTIONS :