Find the LCM of the following numbers

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Homework Help Overview

The discussion revolves around finding the least common multiple (LCM) of a set of numbers, specifically focusing on the numbers 22, 23, 32, and 33, as well as 726 and 736. Participants are exploring the correct approach to calculating the LCM and questioning their initial assumptions.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss different methods for calculating the LCM, including the importance of finding the product of the numbers first. Some express uncertainty about the validity of their initial calculations and seek clarification on the correct approach.

Discussion Status

The discussion is ongoing, with participants sharing their calculations and questioning each other's reasoning. There is a recognition that finding the product is a necessary step, but no consensus has been reached on the final answer or method.

Contextual Notes

Some participants mention the highest common factor and its relation to the LCM, indicating a potential misunderstanding of the concepts involved. The discussion reflects a mix of correct and incorrect assumptions about the calculations required.

chwala
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Homework Statement
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Relevant Equations
lcm
This is the problem, i think its not possible to get the lcm from the options given, i need a second opinion on this:

1632223863171.png
lcm ought to be## 22×23×48=24,288##

lcm[{22, 23, 32, 33}]=24,288## ok my initial thinking here was not correct. I was finding the lcm without first finding the product...

The correct way is to simply find lcm ##(726, 736)=267,168##
 
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It ought to be ##2^5 \cdot 3 \cdot 11^2 \cdot 23 = 267168##
 
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ergospherical said:
It ought to be ##2^5 \cdot 3 \cdot 11^2 \cdot 23 = 267168##
really?
 
ergospherical said:
It ought to be ##2^5 \cdot 3 \cdot 11^2 \cdot 23 = 267168##
ok, you had to find the product first...cheers...
 
The highest common factor is only ##2##. So, the lowest common multiple must be half the product.
 
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