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2 March, 15:49

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

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Answers (2)
  1. 2 March, 16:40
    0
    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
  2. 2 March, 17:33
    0
    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.
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