Discover the Triple Peak of Your Life with Number Theory Help

[buzzmath]

if you have three cycles in your life that start the day you're born. the physical, emotional, and intellectual cycles, of length 23, 28, and 33 days. Each cycle follows a sine curve with period equal to the length of that cycle. Measuring time in quarter days which days of your life will you be at a triple peak, where all three cycles are at maximum value?

I don't really know where to start this problem. Any advice? Thanks

 

[StatusX]

You need to find the least common multiple of the three numbers. Do you know how to do this?

 

[buzzmath]

I know how to find the least common multiple but don't i need to use modular arithmetic or the chinese remainder theorem? I guess I'm confused on what they're really asking.