Find six consecutive multiples of 6 whose sum is the least common multiple of 13 and 18.

Answer 1

let the 6 consecutive multiples of 6 are
6x , 6x+6 , 6x+12, 6x+18, 6x+24 and 6x+30
their sum is 36x + 90

the LCM of 13 and 18 is 234
36x + 90 = 234
36x = 144
x = 4

So the number are :
24, 30, 36, 42, 48, and 54