Problem on finding least number

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Discussion Overview

The discussion revolves around a math homework problem involving six bells that ring at different intervals. Participants explore how to determine how many times the bells ring together within a 30-minute timeframe, focusing on the concept of least common multiples (LCM).

Discussion Character

  • Homework-related, Mathematical reasoning

Main Points Raised

  • One participant asks how many intervals of 2 seconds, 4 seconds, etc., are present in 30 minutes, indicating a breakdown of the problem into smaller parts.
  • Another participant suggests finding the least common multiple of the ringing intervals (2, 4, 6, 8, 10, and 12 seconds) to determine the interval at which all bells ring together.
  • A later reply reiterates the need to find the least common multiple and how many of those intervals fit into 30 minutes.

Areas of Agreement / Disagreement

Participants generally agree on the approach of finding the least common multiple to solve the problem, but the discussion does not resolve the specific calculations or final answer.

Contextual Notes

The discussion does not clarify the mathematical steps involved in calculating the least common multiple or how to convert the 30 minutes into seconds for the final count.

burgess
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Help need to solve math homework problem

Six bells start ringing together and ring at intervals of 2, 4, 6, 8, 10 and 12 seconds respectively. In 30 minutes, how many times do they ring together?

Thanks
 
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So how many intervals of 2 seconds are there in 30 mins?

How many intervals of 4 seconds?

How many intervals of 6? etc...
 
burgess said:
Help need to solve math homework problem

Six bells start ringing together and ring at intervals of 2, 4, 6, 8, 10 and 12 seconds respectively. In 30 minutes, how many times do they ring together?

Thanks
You need to find the least common multiple of 2, 4, 6, 8, 10 and 12. That will give you the interval (measured in seconds) between times when they all ring together. You then have to find how many of those intervals there are in 30 minutes.
 
Opalg said:
You need to find the least common multiple of 2, 4, 6, 8, 10 and 12. That will give you the interval (measured in seconds) between times when they all ring together. You then have to find how many of those intervals there are in 30 minutes.

Thanks for your answer
 

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