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Find the largest number of 5-digits which, when divided by 16, 24, 30 or 36, leaves the same remainder 10 each case.
LCM of 16, 24, 30, 36 is 720
Highest 5 digit number 99999
Now, 99999÷720= 138 and remainder is 639
99999-639=99360
So, Highest 5 digit number that can be divided by 16, 24, 30, 36 without any remainder is 99360
As to leave 10 as remainder the 5 digit number should be, 99360+10=99370
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