Question

find the number that lies between 100000 and 110000 which is exactly divisible by 8,15 and 21.

Answer 1

Answer:

109200

Step-by-step explanation:

(i)

The number which is divisible by 8,15 and 21 is also divisible by their LCM.

Prime factorization of 8 = 2 * 2 * 2

Prime factorization of 15 = 3 * 5

Prime factorization of 21 = 3 * 7

LCM(8,15,21) = 2 * 2 * 2 * 3 * 5 * 7

                     = 840

(ii)

Divide 110000 by 840 and note down the remainder.

800) 110000 (130

         840

         ---------

             2600

             2520

         -------------

                800

Here, the remainder is 800.

(iii)

Subtract the remainder from 110000, we get

= 110000 - 800

= 109200

Thus, the number is 109200.

Hope it helps!

Answer 2

Answer:

109200.

Hope it's helpful!