Question

18. Find the least square number which is exactly divisible by each of the numbers 8. 12. 15
and 20
pls give step by step explanation​

Answer 1

Answer:

First let's find the L.C.M. of 8,12,15 and 20

8=2×2×2

12=2×2×3

15=3×5

20=2×2×5

so the L.C.M. is 120

here 2,3,5 are not in pair

we need to pair for smallest square number

120×2×3×5=120×30=3600

hence the number is 2×2×2×2×3×3×5×5=3600

Answer 2

Answer:

3600

Step-by-step explanation:

The required solution of the problem is  

Let find the LCM of the given numbers i.e. 8,12,15and20

That is,  

2×2×2×5×3=120

But, 2,3,5 are not in pair so

multiply these with LCM

=120×3×5×2

=3600

Therefore there are 3600 numbers.