Question

which is the largest number which divided the any three regular natural number.​

Answer 1

Answer:

Let the first consecutive number be ‘a’. So here we want to find the largest factor of (a)*(a+1)*(a+2)*(a+3) .

Now since we are talking about 4 consecutive natural numbers, among these 4 consecutive numbers we will definitely have :

1) at least one number which is a multiple of 2, and not a multiple of 4.

2) at least one number which is a multiple of 3.

3) at least one number which is a multiple of 4.

So each product will be divisible by 2*3*4 =24, and since the smallest possible product value is 24 (1*2*3*4), we can easily verify it also.

Answer 2

Step-by-step explanation:

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