Question

find the greatest 4 digit number which is divisible by 40, 48 and 60

Answer 1

9,840
You can check it out. It's correct!!!!!!!

Answer 2

What is the greatest number of 4 digits which is exactly divisible by 40, 48, and 60?

Originally Answered: What is the greatest number of 4 digits which is exactly divisible by 40, 48, and 60?

The answer is 9840.

This can be calculated as follows…

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

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240*40=9600

240*50=12000

Hence try multiplying the numbers between 40 and 50 with 240

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

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

( However if you consider 40 and 60 alone, then 9960 is the largest 4-digit number. But it is not exactly divisible by 48 )