Question

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

Answer 1

Find the smallest square number that is divisible by each of the numbers 4, 9 and 10. Sol: We know that LCM is the smallest number divisible by all its factors. ∵ All the prime factors of 900 are paired. Sol: The smallest number divisible by 8, 15 and 20 is their LCM.

Answer 2

Answer:

Required number is 900.

Step-by-step explanation:

Given = 4 , 9 , 10.

We need to find Smallest Square number divisible by given numbers.

Prime Factorization of 4 , 9 , 10

4 = 2 × 2

9 = 3 × 3

10 = 2 × 5

LCM of 4 , 9 , 10 = 2 × 2 × 3 × 3 × 5 = 180

Now to find least Square number we complete the pairs.

we just need one 5 is to complete the pair.

We get, Least Square number = 2 × 2 × 3 × 3 × 5 × 5 = 900

Therefore, Required number is 900.