Question

fnd the smallest square no whic is diviible by each of the numbers ,4,9,10​

Answer 1

Answer:

180

Step-by-step explanation:

To find the smallest number divisible by 4, 9 and 10 we will find LCM.

4 =2×2

9=3×3

10= 5×2

LCM = 2×2×3×3×5 = 180

Answer 2

Answer:

here you go

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 22×2

The prime factors of 9 = 3 \times 33×3

The prime factors of 10 = 2 \times 52×5

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 5LCM=2×2×3×3×5

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

2 \times 2 \times 3 \times 3 \times 5 \times 52×2×3×3×5×5

4 \times 9 \times 25 =9004×9×25=900

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

Step-by-step explanation:

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