Question

find the smallest square number that is divisible by 4, 9 and 20​

Answer 1

Answer:

..... is the 180 okanswer

Answer 2

The smallest square number that is divisible by each of the numbers 4,9 and 10 is 900

Solution:

We have to find the smallest square number that is divisible by each of the numbers 4,9 and 10

First we have to calculate L.C.M of 4 , 9 and 10

The prime factors of 4 =

$2 \times 2$

The prime factors of 9 =

$3 \times 3$

The prime factors of 10 =

$2 \times 5$

For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

The new superset list is

2, 2, 3, 3, 5

Multiply these factors together to find the LCM.

$LCM = 2 \times 2 \times 3 \times 3 \times 5$

To make it a perfect square, we have to multiply by "5"

$2 \times 2 \times 3 \times 3 \times 5 \times 5$

$4 \times 9 \times 25 =900$

Which is the smallest square number divisible by 4,9 and 10

Learn more about smallest square number

Find the smallest square number divisible by each one of the number 8 9 and 10

https://brainly.in/question/10382558

Find smallest square number which is divisible by 6,8,9

https://brainly.in/question/1295947