Question

the least number which when divided by 16, 18, 21 leaves reminders 3, 5, 8 respectively is what?​

Answer 1

Step-by-step explanation:

Since, 16 - 3 = 18 - 5 = 21 - 8 = 13

Thus, The least number which when divided by 16,18,21 leaves a remainder 3,5,8

= L.C.M.( 16, 18, 21 ) - 13

Since, 16 = 2 × 2 × 2 × 2

18 = 2 × 3 × 3

21 = 3 × 7

⇒  L.C.M.( 16, 18, 21 ) = 2 × 2 × 2 × 2 × 3 × 3 × 7 = 1008

Hence, The least number which when divided by 16,18,21 leaves a remainder 3,5,8  = 1008 - 13 = 995.