Dumbledore was born in 1881 and died in 1997. Those are all 11 people who were at the time the longest-lived person ever during Dumbledore's life:
1 - Pierre Darcourt (January 23, 1729-May 11, 1837) - 108 years, 3 months and 18 days (April 28, 1836-February 6, 1892)
2 - Anne D'Evergroote (October 18, 1783-March 14, 1892) - 108 years, 4 months and 25 days (February 6, 1892-October 4, 1896)
3 - Kristi Skagen (May 8, 1788-November 24, 1897) - 109 years, 6 months and 16 days (October 4, 1896-April 7, 1898)
4 - Geert Adriaans Boomgaars (September 21, 1788-February 3, 1899) - 110 years, 4 months and 13 days (April 7, 1898-October 2, 1902)
5 - Margaret Ann Neve (May 18, 1792-April 4, 1903) - 110 years, 10 months and 17 days (October 2, 1902-August 20, 1925)
6 - Louisa Thiers (October 2, 1814-February 17, 1926) - 111 years, 4 months and 15 days (August 20, 1925-September 20, 1926)
7 - Delfina Filkins (May 4, 1815-December 4, 1928) - 113 years and 7 months (September 20, 1926-November 15, 1980)
8 - Fannie Thomas (April 14, 1867-January 22, 1981) - 113 years, 9 months and 8 days (November 15, 1980-April 18, 1984)
9 - Matthew Beard (July 9, 1870-February 16, 1985) - 114 years, 7 months and 7 days (April 18, 1984-March 11, 1986)
10 - Augusta Holtz (August 3, 1871-October 21, 1986) - 115 years, 2 months and 18 days (March 11, 1986-May 10, 1990)
11 - Jeanne Calment (February 21, 1875-August 4, 1997) - 122 years, 5 months and 14 days (May 10, 1990-present)