# Relation between LCM of terms of sequence with sum of sequence

Is there any relation between LCM of some arbitrary sequence and sum of elements of sequence ? How to find the LCM if only sequence sum is given in short time ?

• $\operatorname{lcm}(a,a)=a$ and $\operatorname{lcm}(1,a)=a$, but $a+a\neq 1+a$ in general. – Hayden Apr 3 '15 at 18:26