List of top Quantitative Aptitude Questions on LCM and HCF asked in NCHMCT JEE

The LCM of two numbers is 15 times their HCF. If the sum of their LCM and HCF is 160 and one of the numbers is 50, then what is the other number?
Find the LCM of the numbers: \(\frac{4}{9}, \frac{8}{15}, \frac{6}{9}, \frac{12}{21}, \frac{14}{33}\)