The greatest number of 4 digits which is exactly divisible by 40,48 and 60

9840

Step-by-step explanation:

LCM of 40,48 and 60 is 240.

The factors of 40=2 * 2 * 2 * 5

48=2 * 2 * 2 * 2 * 3

The LCM of 40 and 48 is = 2 * 2 * 2 * 5 * 2 * 3 = 240

60=2 * 2 * 3 * 5

240=2 * 2 * 2 * 5 * 2 * 3

LCM of 240 and 60 is=2 * 2 * 5 * 3 * 2 * 2=240

Therefore LCM of 40, 48 and 60 is=240

If you look at the multiples of 240 ...

240*10=2400

240*40=9600

240*50=12000

You will find that 240*41=9840 is the largest four digit multiple of 240 (240*42 is a five digit number)

Therefore, 9840 is the largest four digit number which is exactly divisible by 40, 48 and 60.

9,840 is the greatest number like that.

Here is a list of all numbers like that, starting from 0. You'll see that the highest one is 9840.

0

240

480

720

960

1200

1440

1680

1920

2160

2400

2640

2880

3120

3360

3600

3840

4080

4320

4560

4800

5040

5280

5520

5760

6000

6240

6480

6720

6960

7200

7440

7680

7920

8160

8400

8640

8880

9120

9360

9600

9840