Question

Find the greatest number of $$6$$ digits number exactly divisible by $$24, 15$$ and $$36$$.

Solution

We will find out the LCM of $$24,15 \& 36$$ is $$360$$Now greatest 6 digit number is $$999999$$Now $$\dfrac{999999}{360}$$ will get reminder $$279$$$$\therefore 999999-279=999720$$$$999720$$ is the greatest number 6 digit number divisible by 24,15 and 36.Maths

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