8. What is the lowest common multiple of 1,3
5,7 and 9?
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Answer:5 is a prime number, so it can’t be factored any further. The LCM must contain at least one 5 as a prime factor.
7 is also a prime number, and can’t be factored any further. The LCM must also contain at least one 7 as a prime factor.
9 is not prime, and can be prime-factored to 3 * 3. Both of those need to be represented in the LCM, so it must contain at least two 3s as prime factors.
So we end up with 5 * 7 * 3 * 3 = 315 as our LCM.
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