请教老师,三个正弦函数相加后周期 形如 f(t)=100+sin(pi+10)+sin(2pi+10)+sin(3pi+10)的周期

f(t)=100+sin(pi+10)+sin(2pi+10)+sin(3pi+10)
t在哪里?
f(t)=100+sin(pit+10)+sin(2pit+10)+sin(3pit+10)
sin(pit+10)的周期为2
sin(2pit+10)的周期为1,
sin(3pit+10)的周期为2/3
f(t)=100+sin(pi+10)+sin(2pi+10)+sin(3pi+10)
的周期为2