Bunuel wrote:
Which of the following is the lowest positive integer that is divisible by 2, 3, 4, 5, 6, 7, 8, and 9?
A. 15,120
B. 3,024
C. 2,520
D. 1,890
E. 1,680
We need to determine the least common multiple (LCM) of 2, 3, 4, 5, 6, 7, 8, and 9. Breaking each of these into primes, we have:
2^1, 3^1, 2^2, 5^1, 2^1 x 3^1, 7^1, 2^3, 3^2
To find the LCM, we need to use each prime number from the above list and we need that prime number as many times as its highest exponent. Let’s first consider 2. Look
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