# Math - Age Problem

by Aleshia Hunter

(Logan, West Virginia, United States)

Demonstrate your understanding of the following terms by completing the exercise explained below:

• Prime Factorizations

• Least Common Multiple (LCM)

• Greatest Common Factor (GCF)

List:

1. Your name and age

2. The names and ages of two people you know

a) one person should be older than you

b) one person should be younger than you

(if you can, choose a person that is

at least 15 years your junior)

Find:

1. The prime factorization of each of the three ages

(Show the results by name and age)

Together, the three ages form a “set” of three numbers

2. Find the LCM for the set

(explain how you determined the LCM)

3. Find the GCF for the set

(explain how you determined the GCF)

In your own words, explain the following two concepts as they relate to the three ages. Explain the meaning of your calculations, not how you arrived at the numbers.

1. LCM

2. GCF

Ages Selected:

• Myself age 40

• Husband age 52

• nephew age 13