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Week 1phi103

# Week 1phi103 - Hi Everyone Select the ages of two people in...

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Hi Everyone, Select the ages of two people in your life, one older and one younger. Prime factor your age and then the other two. Find the LCM and the GCF for the set of ages. Explain in your own words, what your calculated LCM and GCF mean for the ages you selected. First, I thought I was going to have some difficulty figuring this out because I have such odd numbers to put together. I used 41, for my age, 62, for my mother’s age, and 9, for my son’s age. I came up with the LCM for the three of these numbers by finding the prime factorization of each number, as such: 2 9 = 3 41 = 41 62 = 2 x 31 The different prime factors are: 2, 3, 31, and 41. In order to find the product of the different prime factors I needed to use each factor as many times as its largest exponent. In this case the largest exponent of 3 is 2. Then multiply the factors together to get the LCM of all three. For example, 2 2 x 3 x 31 x 41 = 22,878. The least common multiple of all 3 numbers is 22,878.

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Week 1phi103 - Hi Everyone Select the ages of two people in...

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