Question

The least number which when divided by

15, 27, 35 and 42 leaves in each case a remainder 7 is:

a) 18 97 b) 19 87

c) 18 83 d) 20 07​

Answer 1

To Find: A number which when divided by  15, 27, 35 and 42 leaves remainder 7.

Step-by-step explanation:

To find the least number which when divided by 15,27,35 and 42 leaves a remainder 7 is to take Lcm off all the four numbers

There Is a photo at the end Of how to find LCM

LCM (15,27,35,42) = 2 x 3 x 3 x 3 x 5 x 7

LCM (15,27,35,42) = 1890

Now as per the given Information in the question There is always a remainder left that is 7 so we will add 7 to the LCM

So, the number is = 1890 + 7

                               =1897