Math, asked by mahadevankallat, 9 months ago

Find the least square number exactly divisible by each one of the numbers 8, 12, 15, 20

Answers

Answered by PeepingMoon
6

Answer:

first we need to find the LCM of the given numbers i.e. 8, 12, 15 and 20

2*2*2*5*3=120

Then

as 2, 3, 5 are not in pairs, we need to multiply the LCM with 2*5*3=30

so,

least perfect square number which is divisible by each of numbers 8 12 15 and 20

=120*30=3600

Step-by-step explanation:

HOPE IT HELPS

PLEASE MARK AS BRAINLIEST

PLEASE FOLLOW ME DEAR FRIEND

PLEASE

......................................................................

Answered by itzshrutiBasrani
2

Step-by-step explanation:

First let's find the LCM of 8,12,15,and 20.

8=2×2×2

12=2×2×3

15=3×5

20=2×2×5

So the LCM is 2×2×2×3×5=120

Here is 2,3,5, are not in pairs, we need to in pairs for smallest square number.

120×2×3×5=120×30=3600.

Hence the number is 2×2×2×2×3×3×5×5=3600.

3600 is the right answer.

Similar questions