This is a very important question from NCERT book class 10 chapter 1 Real number. Here in this question, we have to find the greatest 5 digits number which is exactly divisible by 12,15 & 36. So please tell me whether i have to find the LCM or the HCF in this question. Video Solution will be more helpfull. thanks in advance.

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First we will find the LCM of 12,15 and 36

By prime Factorisation,

12=2×2×3

15=5×3

36=2×2×3×3

Now, LCM= 22×32×5

We will find that the LCM is 180

Now, Largest 5 digit number= 99999

Dividing this number by LCM, we get,

99999/180=555.5

Now we will multiply 180 by 555

We will get 99900