Answer:
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.
