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The GCF of two numbers is 3. Their LCM of the two numbers is less than 20. Which could not be the two numbers?
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1 vote
The GCF of two numbers is 3.

Their LCM of the two numbers is less than 20.

Which could not be the two numbers?

User Colibri
by
4.2k points

1 Answer

6 votes

Answer:

Explanation:

Let say a and b the 2 natural integers with 0 < a< b.

Since a*b=GCF(a,b)*LCM(a,b)

a*b < 3*20=60


\begin{array}ca&amp;b&amp;a*b&amp;GCF&amp;LCM&amp;GCF*LCM\\---&amp;---&amp;---&amp;---&amp;---&amp;---\\3&amp;6&amp;18&amp;3&amp;6&amp;18\\3&amp;9&amp;27&amp;3&amp;9&amp;27\\3&amp;12&amp;36&amp;3&amp;12&amp;36\\3&amp;15&amp;45&amp;3&amp;15&amp;45\\3&amp;18&amp;54&amp;3&amp;18&amp;54\\6&amp;9&amp;54&amp;3&amp;18&amp;54\\---&amp;---&amp;---&amp;---&amp;---&amp;---\\\end {array}

User Lizanne
by
4.3k points
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