Find the least number of five digits which is exactly divisible by 6,8,15,16,20and24 ?
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Answer: Find the LCM of the numbers for which we first factorize the numbers as follows:
6 = 2x3
8 = 2x2x2
15 = 3x5
16 = 2x2x2x2
20 = 2x2x5
24=2x2x5
The LCM = 2x2x2x2x3x5=240
The smallest 5 digit number is 10000. Divide 10000 by 240 to get 41.6666666. Take the next higher integer which is 42. Now multiply 240 by 42 to get 10080, which is the smallest 5 digit number divisible by 6, 8, 15, 16, and 20,24
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