If f(x)  and g(x)  are periodic functions with periods 7 and 11 respectively. Then the period of F(x)=f(x)g(x5)−g(x)f(x3)   is

Period of f(x)  is 7 ∴  period of f(x3)  is 71/3=21 And ∵ period of g(x) 11∴  period of g(x5)  is 111/5=55 ∴  T1=  period of f(x)g(x5)=7×55=385 And T2= period of g(x)f(x3)=11×21=231 ∴  period of F(x)= LCM {T1,T2} = LCM {385,231} =7×11×3×5 =1155