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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Find the smallest square number that is divisible by each of the numbers 4, 9 and 10
Solution:
The number that will be perfectly divisible by each of the numbers 4, 9 and 10 will be their LCM.
LCM of 4, 9, 10
= 2 × 2 × 3 × 3 × 5
= 180
Here, the prime factor 5 does not have a pair. Therefore 180 is multiplied by 5 then the number obtained is a perfect square.
Thus, 180 × 5 = 900
So, 900 is the smallest square that is divisible by 4, 9, and 10
☛ Check: NCERT Solutions for Class 8 Maths Chapter 6
Video Solution:
Find the smallest square number that is divisible by each of the numbers 4, 9 and 10
NCERT Solutions for Class 8 Maths Chapter 6 Exercise 6.3 Question 9
Summary:
The smallest perfect square number that is divisible each by 4, 9 and 10 is 900
☛ Related Questions:
- For each of the following numbers, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also find the square root of the square number so obtained. (i) 252 (ii) 180 (iii) 1008 (iv) 2028 (v) 1458 (vi) 768
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