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