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Which of the following is the lowest positive integer that is divisible by 2, 3, 4, 5, 6, 7, 8, and 9? 15,120 3,024 2,520 1,890 1,680

ok so lets break our divisors down into prime factors, i.e \(2,3,2^2,5,3*2,7, 2^3,3^2\)

anything divisible by \(3^2\), will be divisible by 3, anything divisible by \(2^3\) will be divisible by \(2, 2^2\) anything divisible by 2 and 3 will be divisible by 6. so by multiplying \(5*7* 2^3*3^2 = 2520\) we will yield the LCD = 2520

now since 2520 is one of the options, bingo, this is the LOWEST POSITIVE INT ,i.e 1 ,as asked by the question

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