It looks like you've uploaded an image that lists
key words associated with the Least Common Multiple (LCM). However, there is no specific math problem or task included in the image — just a list of keywords that signal when to use LCM in word problems.
Let me explain what this image means and how to use it effectively:
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🔍 Understanding the Image: Key Words for LCM
The image provides
clues or
keywords that help you identify when a math problem requires finding the
Least Common Multiple (LCM).
Here’s a breakdown of each keyword and why it relates to LCM:
1.
Smallest
→ You're looking for the *smallest* number that satisfies a condition.
Example: "What is the smallest number divisible by both 4 and 6?" → LCM(4,6) = 12
2.
Minimum
→ Same as "smallest" — you want the minimum value that works for multiple numbers.
3.
First
→ When asking for the first time something happens (e.g., two events coincide).
Example: "When will they meet for the first time?"
4.
Least
→ Synonym for "smallest." Often used in phrases like "least common multiple."
5.
Next
→ Implies repeating cycles — when will the next occurrence happen?
Example: "When will both buses arrive at the same time again?"
6.
Repeated over and over
→ Indicates periodic events (like blinking lights, schedules, etc.)
→ LCM helps find when these cycles align.
7.
Multiple items
→ You’re dealing with more than one thing happening in cycles.
8.
When both will meet again
→ Classic LCM scenario: two things repeating at different intervals.
Example: Two people run laps every 4 and 6 minutes — when do they meet again?
9.
When both will be equal
→ When two quantities become equal after some time — often due to repeated cycles.
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✔ How to Use This List
When solving a word problem:
- Look for any of these keywords.
- If you see them, consider using
LCM.
- The LCM gives the
smallest number that is a multiple of all the given numbers.
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🧩 Example Problem Using These Keywords
>
Problem:
> Two friends exercise on a track. One runs a lap every 8 minutes, and the other every 12 minutes. They start at the same time. When will they be at the starting point together again?
Step-by-step:
- Keywords: "every 8 minutes", "every 12 minutes", "together again" → LCM
- Find LCM of 8 and 12.
- Multiples of 8: 8, 16, 24, 32...
- Multiples of 12: 12, 24, 36...
- First common multiple:
24
✔ Answer: They will meet again after
24 minutes.
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💡 Summary
This image is a
study aid to help recognize
when to use LCM in real-world scenarios involving cycles, repetition, or synchronization.
👉 So, if your task was to interpret the image:
Answer: The image lists key phrases that indicate a problem involves finding the
Least Common Multiple (LCM). These clues help students identify when to apply LCM in word problems related to timing, scheduling, or repeating patterns.
Let me know if you'd like practice problems or a similar list for GCF (Greatest Common Factor)!
Parent Tip: Review the logic above to help your child master the concept of gcf and lcm word problems worksheet.
