Ms. Drake 7th grade Math Number Theory Lesson 6 Least Common Multiple.
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Transcript of Ms. Drake 7th grade Math Number Theory Lesson 6 Least Common Multiple.
![Page 1: Ms. Drake 7th grade Math Number Theory Lesson 6 Least Common Multiple.](https://reader036.fdocuments.us/reader036/viewer/2022072015/56649ec65503460f94bd14be/html5/thumbnails/1.jpg)
Ms. Drake 7th grade Math
Number Theory
Lesson 6
Least Common Multiple
![Page 2: Ms. Drake 7th grade Math Number Theory Lesson 6 Least Common Multiple.](https://reader036.fdocuments.us/reader036/viewer/2022072015/56649ec65503460f94bd14be/html5/thumbnails/2.jpg)
![Page 3: Ms. Drake 7th grade Math Number Theory Lesson 6 Least Common Multiple.](https://reader036.fdocuments.us/reader036/viewer/2022072015/56649ec65503460f94bd14be/html5/thumbnails/3.jpg)
Number TheoryAddition Property of EqualityAlgebraic ExpressionBaseCoefficientComposite Number ConstantDivision Property of EqualityEquation
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EvaluateExponentGreatest Common Factor (GFC)Inverse OperationsIsolate the VariableLeast Common Multiple (LCM)Like Terms
Number Theory
![Page 5: Ms. Drake 7th grade Math Number Theory Lesson 6 Least Common Multiple.](https://reader036.fdocuments.us/reader036/viewer/2022072015/56649ec65503460f94bd14be/html5/thumbnails/5.jpg)
Number TheoryMultipleMultiplication Property of EqualityNumerical ExpressionOrder of OperationsPowerPrime FactorizationPrime NumberScientific NotationSolution
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Number Theory
SolveStandard FormSubtraction Property Of EqualityTermVariableVerbal Expression
![Page 7: Ms. Drake 7th grade Math Number Theory Lesson 6 Least Common Multiple.](https://reader036.fdocuments.us/reader036/viewer/2022072015/56649ec65503460f94bd14be/html5/thumbnails/7.jpg)
Use a list to find the Least Common Multiple (LCM)
4, 6, 12
4, 8, 12, 16, 24, 28, 32
6, 12, 18, 24, 30, 36
12, 24, 36, 48
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Use Prime Factorization to find the LCM
78, 110Write the prime
factorization of each number.
![Page 9: Ms. Drake 7th grade Math Number Theory Lesson 6 Least Common Multiple.](https://reader036.fdocuments.us/reader036/viewer/2022072015/56649ec65503460f94bd14be/html5/thumbnails/9.jpg)
Circle the common prime factors
78 = 2 3 13
110 = 2 5 11
List the prime factors of the numbers, using the circled
factorsonly once.2, 3, 5, 11, 13
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9, 27, 45
9 = 3 327 = 3 3 345 = 3 3 5
3 3 3 5 = 135
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2 ∙ 3 ∙ 5 ∙ 11 ∙ 13
Multiply the numbers in the list.
2, 3, 5, 11, 13
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A cat runs a mile every 2 minutes. A squirrel runs a
mile every 5 minutes. A cat and a squirrel start
together running around a 1-mile track. How long will it be before they meet at
the starting point.
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The sanitation department picks up recyclable plastics
every 3 days. The paper recycling picks up paper
every four days. They both picked up on May 4. When
will they next pick up on the same day?
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Juan and his mom plant a vegetable garden. Juan planted a row every 30 minutes and his mom
planted a row every 20 minutes. If they started
together, how long before it will be before they both finish a row together?
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Until next time, try the following word problem…
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Jasmine is helping her father plant trees. She plants a
tree every 25 minutes, and her father plants a tree
every 15 minutes. If they start together,
how long before they would finish planting a tree at the
same time?