A number L is called a common multiple of m and n if both m and n
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Question:
a.) find the following least common multiples.
i) LCM(8,12) ii) LCM(20,30) iii) LCM(51,68) iv) LCM(23,18)
b.) For each of the LCMs that you computed in (a), compare the value of LCM(m,n) to the values of m, n, and gcd(m,n). Try to find a relationship.
c.) give an argument proving that the relationship you found is correct for all m and n.
d.) Use your result in (b) to compute LCM(301337,307829).
e.) Suppose that gcd(m,n)=18 and LCM(m,n)=720. Find m and n. Is there more than one possibility? If so, find all of them.
Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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