Find the smallest number that divides by 44 55 and 220 leaving remainder 5

The numbers from which we are to determine the smallest number that can be divided leaving a remainder of 5 are 44, 55, and 220. We have to do the prime factorization of all the numbers to determine their least common multiple (LCM).

Factorization of 44:
   44 = 11 x 4 = 11 x 2 x 2

Factorization of 55:
  55 = 11 x 5

Factorization of 220:
  220 = 11 x 20 = 11 x 5 x 4

Since 220 has all the factors from 55 and 44 then, the least common multiple is 220. Add 5 to the LCM in order to determine the unknown. 

ANSWER: 225