the largest natural number which exactly divides the product of any 4 consecutive natural number AES is

a)6 b)12 c)24 d)120

how i solve this problem?

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- Sep 7th 2009, 03:26 AMguruLargest factor of consecutive natural numbers
the largest natural number which exactly divides the product of any 4 consecutive natural number AES is

a)6 b)12 c)24 d)120

how i solve this problem? - Sep 7th 2009, 05:24 AMmr fantastic
- Sep 7th 2009, 07:32 AMintegerfan
say a,b,c,d are the consecutive numbers. Among them,

there are two even numbers definetly. by the same reasoning,

there is at least one number divisible by 3 and

there is exactly one number divisible by 4.

thus, numbers 2,3 and 4 have their representatives (multiples) contributing to the product.

hence 2*3*4=24 should divide a*b*c*d - Sep 8th 2009, 01:12 AMguruthanks
hello sir thanks for your valuable reply.