Question

Find largest 5 digit number exactly divisible by 12,16,18,24,32

Answer 1

L.CM. of 12, 16,18, 24, 32 = 288.

99999÷288(to get largest 5 digit number exactly divisible by all the given no.)

Quotient=347

Remainder=63

No. divisible by 12,16,18,24,32= 99999-63=99936

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Answer 2

According the question, we have to find out the largest 5 digit number which will be divisible by  12, 16,18, 24, 32.

So first we have to find out the L.C.M of  12, 16,18, 24, 32.

∴$L.CM. of 12, 16,18, 24, 32 = 288.$

we have taken largest 5 digit number= 99999

To get the largest 5 digit number exactly divisible by all the given we will divide 99999 by 288

(99999÷288 = 347)

 ∴ $Quotient=347$

*( 347 × 288 = 99936)

Now remainder will be :-

$(99999-99936)= 63$

∴ $Remainder=63$

Hence the largest 5 digit number which will be divisible by 12,16,18,24,32=$(99999-63)=99936$

*( 99936 + 63 = 99999)

Ans :-99936 is the largest 5 digit number which will be divisible by 12,16,18,24,32.