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

Teacher

99900 is divisible by 12,15,36

Tutor

99900

99900 is the greatest number of 5 digits exactly divisible by 12,15 and 36.

Debate pro and maths' master

Find out the lcm of three numbers 12,15,36. LCM = 180 Largest 5 digit number is 99999. Now divide this num by lcm obtained i.e. 99999/180 , remainder = 99 Now, 99999-99=99900 So, 99900 is the answer.

Trainer

Let us first L.C.M. of 12,15,36 is 180. We all know the greatest 5 digit no. is 99999. When 99999 is divided by 180 then quotient is 555.55 and remainder is 99 So, greatest 5 digit no. exactly divisible by 12,15,36 is 99999-99=99900. Thank you.

Find the greatest number of 5 digits which is a perfect square

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