Question

Find the lowest number which when divided by 14,49,84 and 63 leaves a remainder 3 in each case.

Answer 1

We need to find the lowest number which when divided by 14, 49, 84 and 63 leaves a remainder 3 in each case.

Here is the solution:

We have to take L.C.M of all given numbers that are 14, 49, 84, and 63.

So, (L.C.M of 14, 49, 84, 63) = 1764

We also have remainder 3, so we need to add 3 to the L.C.M of numbers that is:-  

Required number= (L.C.M of 14, 49, 84, 63) +3

= 1764+3=1767.

Therefore, the required number is 1767.

Answer 2

Answer:

First take out LCM of 14, 49, 84 and 63

The LCM of the no. is 1764

Then add 3 to the LCM

So, the answer is 1767