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How many positive five-digit numbers are divisible by each of 7, 8, 9, and 10?

 Oct 3, 2020
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10080 , 12600 , 15120 , 17640 , 20160 , 22680 , 25200 , 27720 , 30240 , 32760 , 35280 , 37800 , 40320 , 42840 , 45360 , 47880 , 50400 , 52920 , 55440 , 57960 , 60480 , 63000 , 65520 , 68040 , 70560 , 73080 , 75600 , 78120 , 80640 , 83160 , 85680 , 88200 , 90720 , 93240 , 95760 , 98280 , Total =  36 such numbers

 

Note: Each number is divisible by 7 and by 8 and by 9 and by 10.

 Oct 3, 2020

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