Which is the smallest perfect square number that is divisible by 3, 4, 5, 6 and 8?

900

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1200

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2500

No worries! We‘ve got your back. Try BYJU‘S free classes today!

3600

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

49000

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is D
3600

L.C.M. of 3, 4, 5, 6, 8 is 120.
Now, 120 = 2 x 2 x 2 x 3 x 5.
To get a perfect square, it has to be multiplied by 2 x 3 x 5.
So, required number = 2 $^{2}$ x 2 $^{2}$ x 3 $^{2}$ x 5 $^{2}$ = 3600.

Suggest Corrections

Similar questions

Find the smallest perfect square, which is divisible by 6 and 8.

Find the least square number, which is exactly divisible by 3, 4, 5, 6 and 8.

Question 109

Solve the following question:

Find the least square number, which is exactly divisible by 3, 4, 5, 6 and 8.

Join BYJU'S Learning Program