Question

Find the least number When divided by 16 leaves the remainder 6 when divided by 19 leaves the remainder 9 when divided by 21 leaves the remainder 11 ?

Answer 1

Answer:

6374

Step-by-step explanation:

LCM ( 16, 19, 21 ) = 16×19×21 = 6384

since...16-6 =10 ; 19-9=10; 21-11=10

the number = LCM - 10 = 6384 - 10 = 6374

Answer 2

Answer:

6374

Step-by-step explanation:

Here,

16-6=10,19-9=10,21-11=10

Therefore required number is 10 less than the LCM of 16,19 and 21 ...........Eq1

16=2^4

19=1×19

21=3×7

LCM=6384

Ans 6384-10=6374. By Eq 1