Dividing 80 by 7 and 11 ⇒ Remainder when divided by 7 = 3 ⇒ Remainder when divided by 11 = 3 Dividing 73 by 7 and 11 ⇒ Remainder when divided by 7 = 3 ⇒ Remainder when divided by 11 = 7 Dividing 93 by 7 and 11 ⇒ Remainder when divided by 7 = 2 ⇒ Remainder when divided by 11 = 5 Dividing 150 by 7 and 11 ⇒ Remainder when divided by 7 = 3 ⇒ Remainder when divided by 11 = 7 ∴ The least number which leaves remainder 3 and 7 respectively when divided by 7 and 11 is 73. Alternative Method, Given, Divisors = 7 and 11 The LCM of 7 and 11 = 77 Now, 7 - 3 = 4 and 11 - 7 = 4 By subtracting 4 from 77, we get the number = 77 - 4 = 73 ∴ The least number which leaves remainder 3 and 7 respectively when divided by 7 and 11 is 73.