Question

find the greatest number of 4 digit whi ch exactly divides 40 48 60​

Answer 1

Answer:

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

step step by step explanation:-

40=2³ x 5

48=2⁴ x 3

60=2² x 3 x 5

∴ L.C.M. of 40, 48, and 60 = 2⁴ x 3 x 5 = 240

We will now start multiplying 240 by 10, 20, 30, 40 and 50 and obtain,

240 x 10 = 2400

240 x 20 = 4800

240 x 30 = 7200

240 x 40 = 9600

240 x 50 = 12000

Since, 9600 is a four digit number and 12000 is a five digit number, the required number is obtained by multiplying 240 by a number any where between 41 and 49.

240 x 41 = 9840

240 x 42 = 10080

Since, 10080 is a 5-digit number, we conclude from above that,

The greatest 4-digit number that is divisible by 40,48, and 60 is

9840 (Proved)

Answer 2

Answer:

9840 is the greatest number of 4 digit that exactly divides 40,48,60

Step-by-step explanation:

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