find the least 5-digit number which leaves remainder 3 in each case when divided by 5,10,12,15,18,25 and 30
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lcm of 5,10,12,15,18,25,30 is 900
multiple of 900 are as follows:- 1800,2700,3600............9900 ,10800
here 10800 is the least 5-digit number that is divisible by 5,10,12,18,25,30.
But is not the correct answer because we need the number that leave remainder 3
so, that the number which is divisible by 5, 10, 12, 15, 18, 25, 30 and leave the remainder 3in each case is 10803.
thanks
hope it will help you
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