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Mathematics 18 Online
OpenStudy (mathmath333):

a question

OpenStudy (mathmath333):

\(\large \color{black}{\begin{align} & \normalsize \text{Find the lcm of }\hspace{.33em}\\~\\ & \{\dfrac{200}{3},100\}\hspace{.33em}\\~\\ \end{align}}\)

OpenStudy (serenity74):

Can I give u a video?

OpenStudy (serenity74):

Here: https://www.khanacademy.org/math/pre-algebra/factors-multiples/least_common_multiple/v/least-common-multiple-exercise Another link: http://www.math.com/school/subject1/lessons/S1U3L3GL.html IK LCM but I just dunno how to explain it :/ hope these links help you sorry!

hero (hero):

What is 200/3 times 3?

hero (hero):

@mathmath333

OpenStudy (mathmath333):

200/3*3=200

hero (hero):

And what is 100*2 ?

OpenStudy (mathmath333):

200

hero (hero):

Okay...

OpenStudy (mathmath333):

but 200/3*3/2=100

OpenStudy (mathmath333):

is 200 the right answer

hero (hero):

Good thinking. Nope your approach is correct.

hero (hero):

I was thinking about how to get rid of the fraction rather than finding the LCM. My mistake.

OpenStudy (mathmath333):

is 200 or 100 the correct answer ?

hero (hero):

100

OpenStudy (mathmath333):

ok thanks

hero (hero):

Now you can't say noone helped you.

OpenStudy (mrnood):

WAIT

OpenStudy (mrnood):

LCM is for INTEGER multiples

OpenStudy (mrnood):

100 is not 'multiple' of 200/3 in this sense

OpenStudy (mathmath333):

u mean the question is wrong

OpenStudy (mrnood):

No - I mean the answers above are wrong

OpenStudy (mathmath333):

200 is the answer ?

OpenStudy (mrnood):

yes

OpenStudy (mathmale):

LCM: least common multiple. The quantities 200/3 and 100 have a common multiple (a factor common to both). What is it?

OpenStudy (mrnood):

@mathmale I think you are confusing LCM with HCF we are not concerned with 'factors' here except to say that both numbers are factors of the LCM :-)

hero (hero):

@MrNood, I have not seen any definition of LCM that states that the multiplier has to be an integer.

OpenStudy (mrnood):

@Hero If that were the case then the LCM would always be equal to the larger number - because if you have 2 numbers a & b you can always multiply a by b/a to get b Review your comcept of LCM and see if you now agree.

OpenStudy (mrnood):

^^ or even the SMALLER number - for the same reasoning

hero (hero):

Actually, according to the definition posted on Wikipedia, all the numbers are supposed to be integers. So this question itself might be a trick one.

OpenStudy (mrnood):

However THUS reference implies that it is a valid concept for RATIONAl numbers - not just integers http://solvematheasily.jimdo.com/number-system/least-common-multiple-denominator/ I don't have an opinion on this - but either way - 200 is the answer above.

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