factors and multiples

Question

If a collection of pencils is placed in rows of 3, there are 2 pencils left; if placed in rows of 4, there are 2 left; and if placed in rows of 5, there are 2 left. What is the smallest possible number of pencils in the collection

Answer 1

find the LCM of 3, 4 and 5

LCM of 3, 4 and 5 is 3*4*5=60

now add 2 to 60 to get 62

62 pencils