Question

The smallest number which when we divided by 8 10 12 14 gives a remainder of 3 every time

Answer 1

Answer:

363

Step-by-step explanation:

LCM of 8, 10, 12, 15 ,18= 360

now 360 is exactly divisible by 8, 10, 12, 15 ,18

in order to get remainder 3 every time, we need to add 3 to 360, that becomes 363

Now 363 leaves remainder 3 in every case [i,e 8, 10, 12, 15, 18]

therefore, the smallest number which when divided by 8, 10, 12, 15, and 18 gives a remainder of 3 every time is 363.