Athletes

Athletes at the stadium could enter two-steps, three-steps, four-steps, five-steps, six-steps. There were more than 100 but less than 200. How many athletes were there?

Correct result:

n1 =  120
n2 =  180

Solution:

2 ... primenumber 3 ... primenumber 4=22 5 ... primenumber 6=23 LCM(2,3,4,5,6)=2235=60  a=LCM(2,3,4,5,6)=60 x1=100/a=100/60=531.6667 x2=200/a=200/60=1033.3333  n1=a x1=60 1.6667=120
n2=n1+a=120+60=180



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