Question

find the greatest 4 digit number which is exactly divisible by each of 8 12 and 20 step by step explanation ​

Answer 1

Answer:

9960

Step-by-step explanation:

Factorising:

8 = 2³

12 = 2² × 3

20 = 2² × 5

The LCM of 8, 12, 20 is 2³×3×5 = 120.

So the numbers exactly divisible by 8, 12 and 20 are precisely the multiples of 120.  The problem can now be reworded as:  Find the greatest 4-digit number that is a multiple of 120.

Since

   10000/120 = 83.xxxxxx

the greatest 4-digit multiple of 120 is

120 × 83 = 9960.

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Answer 2

1920 is the answer, find the L.C.M of 8,12,and 20 the keep multiplying it by 2 till you get a 4 digit number