Question

Find the smallest square number which is divisible by each of the
numbers 6, 9 and 15.​

Answer 1

smallest square of 6 9 15 is is

Answer 2

Answer:

ɢᴏᴏᴅ ᴍᴏʀɴɪɴɢ

ʜᴏᴡ ᴀʀᴇ ʏᴏᴜ?

ʜᴇʀᴇ's ʏᴏᴜʀ ᴀɴsᴡᴇʀ

900

Step-by-step explanation:

Smallest square divisible by 6, 9, 15

= LCM of 6,9,15

LCM of 6,9,15 = 90

Now, checking 90 is perfect square or not.

90 = 2 x 3 x 3 x 5

Since, 2 and 5 don't occur in pairs

90 is not a perfect square.

So, we will multiple by 2 and 5 to make pairs.

So, our number becomes,

90 x 2 x 5 = 2 x 3 x 3 x 5 x 2 x 5

900 = 2 x 2 x 3 x 3 x 5 x 5

Now, it becomes a perfect sqaure.

Thus, required number is 900.