Math, asked by ssmeghaasstaruna, 9 months ago

21.Find the smallest square
number that is divisible by
each of the numbers 4, 9, 10​

Answers

Answered by Anonymous
1

Answer: 900

Solution:

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

The prime factors of 4 = 2 x 2

The prime factors of 9 = 3 x 3

The prime factors of 10 = 2 x 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 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 = 180

To make it a perfect square, we have to multiply by "5" i. e 180 x 5 = 900

Answered by tanmayikakade134
2

the smallest square number that is divisible by 4,9 and 10 is 900.

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