Question

Find the least number which when increased by 15 is exactly divisible by 15, 35and 48.

Answer 1

lmc(15,35,48) is

15,35,48 | 2
15,35,24 | 2
15,35,12 | 2
15,35,  6 | 2
15,35,  3 | 3
  5,35,  1 | 5
  1,  7,  1 | 7
   1, 7,  1                            lcm(15,35,48) = 1680

So found number is 1680 - 15 = 1665