The HCF of a group of numbers will be always a factor of their LCM.
HCF is the product of all common prime factors using the least power of each common prime factor.
LCM is the product of highest powers of all prime factors.
Clearly, the numbers are (23 x 13) and (23 x 14)
∴ Larger number = (23 x 14) = 322
Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ?