perplexus.info :: Just Math : lcm reflection

lcm reflection (Posted on 2014-02-14)

Determine the total number of triplets (x, y, z) of positive integers that satisfy this system of equations:

lcm(x, y) = 1000 and:
lcm(y, z) = 2000 and:
lcm(z, x) = 2000

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The required # of triplets is 70.
For an explanation, refer to the solution submitted by Charlie in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: computer solution...and manual count...	Ady TZIDON	2014-02-14 17:34:27
computer solution	Charlie	2014-02-14 11:47:49

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