The Least Number Which When Divided By 5, 6 , 7 And 8 Leaves A Remain

1.	The Least Number Which When Divided By 5, 6 , 7 And 8 Leaves A Remainder 3, But When Divided By 9 Leaves No Remainder, Is?
Answer» L.C.M. of 5, 6, 7, 8 = 840. REQUIRED number is of the form 840k + 3 Least value of K for which (840k + 3) is divisible by 9 is k = 2. Required number = (840 X 2 + 3) = 1683. L.C.M. of 5, 6, 7, 8 = 840. Required number is of the form 840k + 3 Least value of k for which (840k + 3) is divisible by 9 is k = 2. Required number = (840 x 2 + 3) = 1683.

The Least Number Which When Divided By 5, 6 , 7 And 8 Leaves A Remainder 3, But When Divided By 9 Leaves No Remainder, Is?

Answer»

L.C.M. of 5, 6, 7, 8 = 840.

REQUIRED number is of the form 840k + 3

Least value of K for which (840k + 3) is divisible by 9 is k = 2.

Required number = (840 X 2 + 3) = 1683.

L.C.M. of 5, 6, 7, 8 = 840.

Required number is of the form 840k + 3

Least value of k for which (840k + 3) is divisible by 9 is k = 2.

Required number = (840 x 2 + 3) = 1683.