Complex LCM: Real-world Applications
Mathematics
Grade 6
13 questions
~26 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on understanding and applying the concept of Complex LCM in real-world fraction addition problems, designed for Grade 6 students.
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Complex LCM: Real-world Applications
Subject: MathematicsGrade: Grade 6
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Untitled Worksheet
Grade Grade 6
A
Introduction
Read the key concept below before attempting the questions.
1.
The Least Common Multiple (LCM) of denominators helps us find a common denominator to add fractions with unlike denominators. To find the Complex LCM of multiple denominators, factor each into primes, identify the highest powers of all primes involved, and multiply these together.
[2 marks]B
Fluency & Practice
Solve the following to build your procedural mastery with Complex LCM.
1.
Calculate the LCM of 8, 12, and 20.
[3 marks]2.
Find the least common denominator for fractions: 3/4, 5/6, and 7/8.
[3 marks]3.
Add the fractions 2/3 and 3/4 after finding the common denominator.
[4 marks]C
Problem Solving & Reasoning
Solve these multi-step problems that require reasoning and application of Complex LCM.
1.
A recipe calls for 1/4 cup of sugar, 1/6 cup of honey, and 1/8 cup of syrup. To combine these ingredients for a large batch, find the smallest total amount of mixture needed so the quantities are integers. How much of each ingredient is used?
[4 marks]2.
A bus departs every 15 minutes, a train every 20 minutes, and a ferry every 30 minutes. When will all three depart together again, after 8:00 am?
[4 marks]D
Real-world Applications
Apply your understanding to solve these contextual problems involving fractions and LCM.
1.
A gardener waters plants every 6 days, another every 8 days, and a third every 12 days. If all three are watered today, after how many days will they all be watered again on the same day?
[3 marks]2.
A school schedules assemblies every 9 days, every 12 days, and every 15 days. On what day will all three assemblies occur together next?
[3 marks]E
Challenge & Extension
Tackle these advanced problems for further mastery.
1.
Find the LCM of 24, 36, and 54, then determine the added fractions 1/24, 2/36, and 3/54 when converted to a common denominator.
[4 marks]2.
A factory produces products every 18, 24, and 30 hours. When will they all produce simultaneously again? Also, express these production intervals as fractions of a week.
[4 marks]F
Mixed Review
Answer these questions to review various aspects of Complex LCM.
1.
Add 5/8, 7/12, and 3/16 by finding the least common denominator and then summing.
[3 marks]2.
If you mistakenly add fractions using the product of denominators instead of the LCM, what mistake have you made? How does it affect the sum?
[3 marks]G
Error Analysis
Identify and correct the mistake in the following incorrect solution.
1.
Incorrect solution: To add 3/4 and 5/6, someone used 24 as the common denominator instead of 12. Find the correct sum and explain the error.
[4 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet