If An Integer N Is Divisible By 3, 5 And 12, What Is The Next Larger

1.	If An Integer N Is Divisible By 3, 5 And 12, What Is The Next Larger Integer Divisible By All These Numbers?
Answer» If n is divisible by 3, 5 and 12 it must a multiple of the LCM of 3, 5 and 12 which is 60. n = 60 k n + 60 is also divisible by 60 SINCE n + 60 = 60 k + 60 = 60(k + 1). If n is divisible by 3, 5 and 12 it must a multiple of the lcm of 3, 5 and 12 which is 60. n = 60 k n + 60 is also divisible by 60 since n + 60 = 60 k + 60 = 60(k + 1).

If An Integer N Is Divisible By 3, 5 And 12, What Is The Next Larger Integer Divisible By All These Numbers?

Answer»

If n is divisible by 3, 5 and 12 it must a multiple of the LCM of 3, 5 and 12 which is 60.

n = 60 k

n + 60 is also divisible by 60 SINCE

n + 60 = 60 k + 60 = 60(k + 1).

If n is divisible by 3, 5 and 12 it must a multiple of the lcm of 3, 5 and 12 which is 60.

n = 60 k

n + 60 is also divisible by 60 since

n + 60 = 60 k + 60 = 60(k + 1).