HCF and LCM problem

A

aster56

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[FONT=&quot]I wouldn't say I was bad a math but this problem that my younger brother got for homework. After sometime of trying to figure it out we decided it hhas me stumped.
I get the feeling he wasn't listening in class when he was told or taught a method for solving this problem. Any help would be great thanks!


The highest common factor of these numbers is 12. [/FONT]

[FONT=&quot]give 3 possibilities of the numbers [/FONT]

[FONT=&quot]the lowest common multiple of my number is 1260 there are 3 possible pairs of numbers what are they. [/FONT]

[FONT=&quot]Can you please answer this for me. and can you show me how you did it? [/FONT]
[FONT=&quot]Thank you![/FONT]
 
aster56 said:
I wouldn't say I was bad a math but this problem that my younger brother got for homework. After sometime of trying to figure it out we decided it hhas me stumped.
I get the feeling he wasn't listening in class when he was told or taught a method for solving this problem. Any help would be great thanks!


The highest common factor of these numbers is 12.

give 3 possibilities of the numbers

the lowest common multiple of my number is 1260 there are 3 possible pairs of numbers what are they.

Can you please answer this for me. and can you show me how you did it?
Thank you!
Click to expand...
As written, the problem does not make sense to me.

Can you please post the "exact" problem ?
 
aster56 said:
I wouldn't say I was bad a math but this problem that my younger brother got for homework. After sometime of trying to figure it out we decided it hhas me stumped.
I get the feeling he wasn't listening in class when he was told or taught a method for solving this problem. Any help would be great thanks!

The highest common factor of these numbers is 12.

give 3 possibilities of the numbers

the lowest common multiple of my number is 1260 there are 3 possible pairs of numbers what are they.

Can you please answer this for me. and can you show me how you did it?
Thank you!
Click to expand...


The highest common factor of these numbers is 12.
give 3 possibilities of the numbers

Try 12*3, 12*4 and 12*5. Note that 3,4 and 5 have no common factors.
Was this so hard?
 
aster56 said:
The highest common factor of these numbers is 12.
give 3 possibilities of the numbers, the lowest common multiple of my number is 1260 there are 3 possible pairs of numbers what are they. Can you please answer this for me. and can you show me how you did it?
Click to expand...

Subhotosh Khan said:
As written, the problem does not make sense to me.
Can you please post the "exact" problem ?
Click to expand...

I agree with Mr. Khan. This should a lesson to all that a complete problem in original wording should be posted. Not what a person thinks it means. But using what was posted, here is a guess.

\(\displaystyle 12=2^2\cdot 3~\&~1260=2^2\cdot 3^2\cdot 5\cdot 7\) see this

Thus one pair would be \(\displaystyle 2^2\cdot 3\cdot 7~\&~2^2\cdot 3^2\cdot 5\)

Another pair would be \(\displaystyle 2^2\cdot 3\cdot 5~\&~2^2\cdot 3^2\cdot 7\)

Another pair would be \(\displaystyle 2^2\cdot 3~\&~2^2\cdot 3^2\cdot 5\cdot 7\)

Can you find others?
 
Last edited:
Hello again guys, I understand its confusing (which is why i came here) but this is the original question, I haven't change it to what i "think it means". There isn't a lesson to be had here i'm afraid. It was on a 2 page print out of questions given to my brother from his teacher there was no markings on the paper to indicate where it was from either.. The problem now is he didn't even pay attention when she told him the answers to the homework!

i appreciate all the help guys.
That video on khan academy didn't help me solve it, it was just basic HCF and LCM info. Which could be what i'm lacking but i know all what Sal had to say!
So now i'm thinking if the answer isn't straight forward then maybe your right about the lack of information in the question, maybe the teacher made a mistake somewhere.
 
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