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course mth 151
8/2 11
Question: `q001. There are three questions in this assignment.2 * 2 * 3 * 5 = 60 and 3 * 5 * 7 = 105.
What do the prime factorizations of 60 and 105 having common?
What is the prime factorization of the smallest number which contains within its prime factorization the prime factorizations of both 60 and 105?
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Your solution:
The two have 3*5 in common which equals 15. You must use 2*2* 3*5 with the addition of 7 to find the prime factorization of the smallest number which contains a prime factorization of both 60 and 105. The number is then 420 because 2*2*3*5*7=420
3
Ok
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Question: `q002. What are the prime factorizations of 84 and 126, and how can they be used to find the greatest common divisor and the least common multiple of these two numbers?
2 * 2 * 3 * 7=84; 2 * 3 * 3 * 7=126; least common multiple is therefore 2 * 2 * 3 * 3 * 7 = 252
3
Ok
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Question: `q003. Find the greatest common divisor and least common multiple of 504 and 378.
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Your solution:
2 * 2 * 2 * 3 * 3 * 3 * 7 = 1512
3
Ok
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