Question

How Many number are There between 4000 to 6000 which are divisible by32,40,48,60?

Answer 1

there are four numbers

Answer 2

Solution :-

To find the numbers between 4000 to 6000 which are divisible by 32, 40, 48 and 60, first we have to compute the L.C.M. of 32, 40, 48 and 60

L.C.M. of 32, 40, 48 and 60

32 = 2*2*2*2*2

40 = 2*2*2*5

48 = 2*2*2*2*3

60 = 2*2*3*5

L.C.M. of 32, 40, 48 and 60 = 2*2*2*2*2*3*5 = 480

So, L.C.M. of 32, 40, 48 and 60 is 480

Now, we will find out that how many numbers are divisible by 480 between 4000 to 6000.

The numbers divisible by 480 between 4000 to 6000 are 4320, 4800, 5280, and 5760

So, only 4 numbers are divisible by 32, 40, 48 and 60 between 4000 to 6000

Answer.