Entry 8: LCM Celebration - Cycles, Alignment & Togetherness
The Mathivation Lab Notebook - Entry 8
LCM: When Cycles Meet Again
Entry – Mathivation Research Lab
Every day in Rakesh Sir’s Math Lab, mathematics quietly meets life.
This notebook records small classroom moments where mathematical ideas reveal something deeper about learning, thinking, and human experience.
Lab Observation
Today, the Mathivation Lab began differently.
Soft meditation music was playing.
Students sat quietly. The atmosphere was calm, almost reflective.
In that silence, a thought emerged:
Can mathematics also flow like meditation?
And from that space, we entered the world of LCM (Lowest Common Multiple) - not through numbers, but through rhythm and repetition.
The Math Lab Story
The Chanting of Cycles
Three groups of spiritual practitioners began chanting at 5:00 a.m.
For the first few minutes, something magical happened:
- All three groups chanted the same mantra together
- The sound was perfectly aligned—same rhythm, same harmony
A listener passing by felt a deep sense of calm.
He waited to experience that same divine synchronization again…
But it didn’t happen.
On asking, he discovered:
- Group 1 completes its chanting cycle in 80 minutes
- Group 2 in 120 minutes
- Group 3 in 144 minutes
Each group repeats its own cycle continuously - but differently.
Working: LCM of 80, 120 & 144
LCM OF 80, 120 & 144 =
The Mathematical Insight
The listener was a mathematician.
He realized:
“If I want to hear them together again,
I must find when their cycles align again.”
So he calculated:
LCM of 80, 120, 144 = 720 minutes720 minutes = 12 hours
The Result
Starting time: 5:00 a.m.
After 12 hours:
👉 5:00 p.m.
That is when all three chants align again.
Interestingly, one student had already guessed:
“Sir… 5 p.m.!”
And the class smiled when intuition met mathematics.
Classroom Extension
Students were then asked to create their own stories using the same idea.
One beautiful example:
Three family members leave home together at 9:00 a.m.
They return after every 80, 120, and 144 minutes respectively.
They decide to have dinner together when they all meet again.
Students quickly concluded:
○ They will meet after 12 hours
○ Dinner time: 9:00 p.m.
Learner Response
- Students connected cycles with real-life timings
- They understood repetition as a pattern, not just calculation
- Creativity increased - stories started flowing naturally
Mathivation Reflection
HCF and LCM are not just numbers.mĺ
They are about:
- cycles
- alignment
- timing of togetherness
Sometimes, things don’t match immediately.
But if their cycles continue…
👉 they meet again at the right time.
Mathematics teaches:
Alignment is not instant -
it happens when cycles synchronize.
Reflection for Readers
Where in life do you see cycles repeating at different speeds?
Have you ever waited for the “right moment” when everything aligns again?
Ending Note
In the Mathivation Lab,
mathematics is not rushed.
It flows… like rhythm, like breath, like meditation.
Explore Social Math
This reflection connects with ideas from the book:
Social Math
Where mathematical ideas like cycles, timing, and alignment connect with real-life thinking and experiences.
Read the e-book:
https://amzn.in/d/0dsAWM7d
Mathivation Note
This is a classroom-derived reflective model to understand LCM through cycles, repetition, and real-life synchronization.
Disclaimer
All analogies are used for conceptual clarity and should be supported with standard mathematical methods.
Share your own "cycle" story in the comments.
— Rakesh Kushwaha
Founder, Mathivation HUB
Mathivation Research Lab Initiative
Exploring mathematics beyond calculation - toward clarity, character, and consciousness
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