Simple LCM: Problem Solving & Reasoning
Mathematics
GCSE Higher
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on the concept of finding the Least Common Multiple (LCM) to add fractions with unlike denominators, including problem solving and real-world contexts.
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Simple LCM: Problem Solving & Reasoning
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the Least Common Multiple (LCM) of 8 and 12.
[2 marks]2.
Find the LCM of 15 and 20.
[2 marks]3.
Add the fractions 3/8 and 2/12 by first finding the common denominator using LCM.
[3 marks]4.
Calculate the LCM of 9, 15, and 20.
[3 marks]5.
Construct a triangle on the grid with side lengths that have an LCM of 24. Provide the side lengths and justify your choice.
[4 marks]6.
Explain why finding the LCM is essential when adding fractions with different denominators.
[4 marks]7.
Calculate the LCM of 18 and 24, then use it to add 7/18 and 5/24.
[4 marks]8.
A recipe requires 2/3 cups of sugar and 1/2 cups of flour. Find the common denominator to combine these quantities, and then add them.
[4 marks]9.
What is the LCM of 14, 35, and 50? Use it to find an equivalent fraction of 7/14, 10/35, and 25/50 with the same denominator.
[4 marks]10.
Identify and correct the mistake in this solution: adding 1/4 and 1/6. The student uses 12 as the common denominator and writes 3/12 + 2/12 = 5/12.
[4 marks]11.
Challenge: Find the LCM of 21, 28, and 35 and use it to add 5/21, 3/28, and 2/35.
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet