Question

4 find the smallest square number that is divisible by each of the member 4, 9 and 10.​

Answer 1

Answer:

900

Step-by-step explanation:

LCM OF 4,9,10=180

180*5=900

SO,

THE SMALLEST SQUARE NUMBER DIVISIBLE BY 4,9,10 IS 900

I HOPE YOU UNDERSTOOD THE QUESTION

Answer 2

AnSwEr -:

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The smallest square number which is

divisible by 4,9 and 10 is 900.

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Given ,

The numbers are -: 4,9,10.

To find ,

The smallest square number that is

divisible by

each of the number 4,9 and 10.

Then,

Let us find the LCM of 4 , 9 and 10.

The prime factor of 4 = 2 x 2

The prime factor of 9 = 3 x 3

The prime factor of 10 = 2 x 5

So ,

For each prime factor, find where it

occurs most often as a factor and write it

that many times in a new list.

Then ,

The new list is -:

2,2,3,3,5

Multiply these factors together to find

the LCM.

LCM = 2 x 2 x 3 x 3 x 5

To make it perfect square we have to

multiply by 5

2 x2x 3x3 x5x 5

4 x 9 x 25 = 900

The smallest square number which is

divisible by 4,9 and 10 is 900

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