\(\bullet\) LCM of any two non-zero rational numbers always exists.

\(\bullet\) LCM of any non-zero rational and any irrational number never exists.

\(\bullet\) LCM of any two irrational numbers may or may not exist.

\(\bullet\) Also you can start out the discussion here on this note through comments.

Till then you can try to solve the set of such problems : IIT Foundation Classes

## Comments

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TopNewestWhat is so cool about LCMs? – Agnishom Chattopadhyay · 2 years, 2 months ago

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Can you post questions on Polynomials ? and Geometry ? – Rajdeep Dhingra · 2 years, 2 months ago

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What is the most accepted definition of LCM sir, which is in accordance with all integers, rationals and irrationals ? (As you may have known, most people like me are having a problem with the definition ).

Thanks in advance :). – Karthik Venkata · 2 years, 2 months ago

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What are the conditions for two irrational numbers to have an LCM? – Sharky Kesa · 2 years, 2 months ago

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According to my understanding :LCM of two

likeirrational numbers always exists.Now what I mean to say

likehere is :Let any irrational number being \(\lambda\). then another irrational number \(\alpha\) will be like to \(\lambda\) if \(\alpha=A \times \lambda\) where \(A\) is any non-zero rational number. – Sandeep Bhardwaj · 2 years, 2 months ago

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– Hafizh Ahsan Permana · 2 years, 2 months ago

But Sir i thought in your previous questions there are no LCM for two irrational numbers nor between irrational number and rational number.Log in to reply

this and this. – Sravanth Chebrolu · 2 years, 2 months ago

Sir, but what aboutLog in to reply

– Sandeep Bhardwaj · 2 years, 2 months ago

Yeah, LCM exists in both the cases. in one case LCM is \(6\pi\) and in the other case LCM is \(2e\).Log in to reply

– Sravanth Chebrolu · 2 years, 2 months ago

Thank you very much sir, I was scared that my question was wrong! I love you sir! :P \(\huge \ddot \smile\)Log in to reply

– Sandeep Bhardwaj · 2 years, 2 months ago

Thank you my dear, \(\huge \ddot \smile\)Log in to reply

– Sravanth Chebrolu · 2 years, 2 months ago

BTW, How were the questions sir?Log in to reply

– Rajdeep Dhingra · 2 years, 2 months ago

Sir U gave away the answerLog in to reply

– Mehul Arora · 2 years, 2 months ago

Yeah, I would Like to Know the same. :)Log in to reply

Good explanation about LCM'S keep it up::) – Kutumbaka Jaswanth · 2 years, 2 months ago

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