Question

Find the smallest square number which is divisible by 9,10,12,15

Answer 1

Answer:

Step-by-step explanation:

LCM

90 is ur answer

Answer 2

Concept:

The Least Common Multiple (LCM) is also known as the Least Common Divisor (LCD) and the Lowest Common Multiple (LCM). The LCM is the smallest positive integer that is evenly divisible by both a and b for two integers a and b, abbreviated LCM(a,b).

Given:

4 numbers are given to us 9,10,12,15

To find:

The smallest square number which is divisible by 9,10,12,15

Solution:

In this question, we want the smallest perfect square number divisible by 6, 9, and 15.

So, we will start by determining the LCM by prime factorization.

LCM = 90

$=2*3*3*5$

3 is in pair, so we will ignore it for now.

But, 2 and 5 are not in pair.

Therefore, to make it perfect square no. multiply 2 × 5 to LCM (90).

$= 90*2*5\\= 90*10\\= 900$

Hence, the required smallest square no. that's divisible by 6, 9, and 15 = 900.

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