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AnilSinghBora
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Find the greatest number of 5 digits exactly divisible by 12,15 & 36.

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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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  1. 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

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