Problem 3
Source: 48th Austrian Mathematical Olympiad Beginners' Competition(2047)
February 28, 2018
combinatoricsnumber theory
Problem Statement
. Anthony denotes in sequence all positive integers which are divisible by . Bertha denotes in sequence all positive integers which are divisible by . Claire denotes in sequence all positive integers which are divisible by . Orderly Dora denotes all numbers written by the other three. Thereby she puts them in order by size and does not repeat a number. What is the number in her list?
¨Proposed by Richard Henner