Math, asked by mintop, 11 months ago

three bells chime. at an interval of 18,24, and 32min respectively at a certain time , they begin to chime chime together 2hat lenghth of 5ime will elapse before they chime together again​

Answers

Answered by Dɪʏᴀ4Rᴀᴋʜɪ
13

•It should be simple. All the three bells will chime again together whenver their time intervals intersect eachother.

•So the LCM of the three time intervals (18, 24,32) would be the answer.

•LCM(18, 24, 32)=&gt;2^5×3^2=&gt;288</p><p> =&gt; 4 hours 48 mins ANSWER

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Answered by payalchatterje
1

Correct question is "three bells chime. at an interval of 18,24, and 32min respectively at a certain time , they begin to chime chime together that length of time will elapse before they chime together again"

Answer:

After 4 hours 44 minutes three bells chime together again.

Step-by-step explanation:

Given intervals are 18,24, and 32 min.

Here we need to find LCM of 18,24 and 32.

By prime factorisation,

18 = 2 \times 3 \times 3 \\ 24 = 2 \times 2 \times 2 \times 3 \\ 32 = 2 \times 2 \times 2 \times 2 \times 2

We know,LCM means Least Common Multiple

In arithmetic and number theory, least common multiple of two integers a and b, usually denoted lcm(a, b), is the smallest positive integer that is divisible by both a and b. Since dividing integers by zero is undefined, this definition only has meaning if a and b are non-zero. However, some authors define lcm(a,0) as 0 for all a, since 0 is the only common multiple of a and 0.

So, Least Common Multiple of 18,24 and 32 is (2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3) = 288

LCM of 18,24 and 32 minutes

 = 288 \: minutes \\  = 4 \: hours \: 44 \: minutes

Therefore after 4 hours 44 minutes three bells chime together.

Know more about LCM,

https://brainly.in/question/20776338

https://brainly.in/question/26126136

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