Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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Problem B. 4653. (October 2014)

B. 4653. How many ordered triples of positive integers \(\displaystyle a\), \(\displaystyle b\), \(\displaystyle c\) are there for which \(\displaystyle [a,b,c]=10!\) and \(\displaystyle (a,b,c)=1\)? (\(\displaystyle (a,b,c)\) denotes the greatest common divisor, and \(\displaystyle [a,b,c]\) denotes the least common multiple.)

(4 pont)

Deadline expired on November 10, 2014.


Statistics:

208 students sent a solution.
4 points:81 students.
3 points:19 students.
2 points:37 students.
1 point:46 students.
0 point:20 students.
Unfair, not evaluated:5 solutions.

Problems in Mathematics of KöMaL, October 2014