A Divisibility Problem

Number Theory Level 3

What is the fourth smallest positive integer that is divisible by 2, 3, 4, & 5 but is not divisible by 8, 9, 25, or 40?

Clarification: The number you are looking for is divisible by none of the following numbers: 8, 9, 25, 40


The answer is 780.

PiMan Seys by PiMan Seys , 18, USA

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1 solution

X X
Jul 14, 2018

60 ( 60 × 1 ) , 420 ( 60 × 7 ) , 660 ( 60 × 11 ) , 780 ( 60 × 13 ) 60(60\times1),420(60\times7),660(60\times11),780(60\times13)

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