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luda_lava [24]
2 years ago
8

What is the least common multiple of 31, 28, and 14?

Mathematics
1 answer:
WINSTONCH [101]2 years ago
5 0

<u>⇨ By prime factorization method:</u>

\begin{array}{r | l}{\sf{2 & {\sf14,28,31} \\\cline{2-2} {\sf2 & {\sf7,14,31 \\\cline{2-2} {\sf7 & {\sf7,7,31 \\\cline{2-2} {\sf31 & {\sf1,1,31 \\\cline{2-2} & {\sf1,1,1\end{array}

{\sf{LCM\: = \:2 \:x\: 2 \:x\: 7 \:x\: 31}}\\\\{\sf{LCM \:= \:868}}\\}\\{\sf{Therefore,}}\\\\{\sf{LCM\:(14,\: 28,\: 31)\: = \:868

{\boxed{\sf{LCM\:=\:868}}

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this is the equation of the line.

Since it says that (x,2) is a point in the equation, we can substitute it into the equation

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add 25/4 to both sides

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we can double check by plugging (11,2) into the equation of the line.

2=3/4(11)-25/4

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it works! :)

Hope this helps!

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