Question

Find the least 4-digit number which on dividing by 6, 9, 12 and 18 leaves a remainder 3 in each case.

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Answer 1

Answer:

Step-by-step explanation:

Just find the LCM of the numbers then add 3 to get the answer.

Answer 2

Answer:

1011

Step-by-step explanation:

Least number of 4-digits = 1000.

LCM(6,9,12,18) = 36

On dividing 1000 by 36, we get remainder as 28.

So, number divisible by 6,9,12,18 = 1000 + (36 - 28)

                                                       = 1008

Since number leaves remainder as 3.

Therefore number = 1008 + 3

                               = 1011.

Thus, the least 4-digit number = 1011.

Hope it helps!