Ms. Drake 7th grade Math Number Theory Lesson 6 Least Common Multiple

Number Theory Addition Property of Equality Algebraic Expression Base Coefficient Composite Number Constant Division Property of Equality Equation

Evaluate Exponent Greatest Common Factor (GFC) Inverse Operations Isolate the Variable Least Common Multiple (LCM) Like Terms Number Theory

Multiple Multiplication Property of Equality Numerical Expression Order of Operations Power Prime Factorization Prime Number Scientific Notation Solution

Number Theory Solve Standard Form Subtraction Property Of Equality Term Variable Verbal Expression

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

Use Prime Factorization to find the LCM 78, 110 Write the prime factorization of each number.

Circle the common prime factors 78 = = List the prime factors of the numbers, using the circled factors only once. 2, 3, 5, 11, 13

9, 27, 45 9 = = = = 135

2 ∙ 3 ∙ 5 ∙ 11 ∙ 13 Multiply the numbers in the list. 2, 3, 5, 11, 13

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.

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?

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?

Until next time, try the following word problem…

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?