Natural numbers $\displaystyle a,b,c$ are such that :

i) GCD of $\displaystyle a,b$ is $\displaystyle 2^33^25^47^1$

ii) GCD of $\displaystyle b,c$ is $\displaystyle 2^43^25^5$

iii) GCD of $\displaystyle a,c$ is $\displaystyle 2^33^25^4$

iv) Product of abc is $\displaystyle 2^1^13^1^05^1^77^2$

Then find the least common multiple (LCM) of $\displaystyle a,b,c$.

please help me. thank you.