# Thread: Finding LCD

1. ## Finding LCD

Hello

I have a problem I need help with. I'm not sure if I am doing the problem right and my answer book only has odd numbers...

I'm supposed to find the LCD for 1/6y and 3x/4y+12 ...I'm getting 12(y+3) for the LCD but I'm confused about it. According to my logic it could also be 12y(y+3) and my friend is telling me its supposed to be 24(y+3)...Does anyone know the right answer to this?

Appreciate the help. )

2. Originally Posted by Birgit
Hello

I have a problem I need help with. I'm not sure if I am doing the problem right and my answer book only has odd numbers...

I'm supposed to find the LCD for 1/6y and 3x/4y+12 ...I'm getting 12(y+3) for the LCD but I'm confused about it. According to my logic it could also be 12y(y+3) and my friend is telling me its supposed to be 24(y+3)...Does anyone know the right answer to this?

Appreciate the help. )
Hi Birgit,

Find the LCD for $\frac{1}{6y} \ \ and \ \ \frac{3x}{\underbrace{4y+12}_{4(y+3)}}$

So your LCD is, in fact, $12y(y+3)$

3. Hello,

First of all your LCD should be divisible with 6y and with 4y+12; your answer 12(y+3) and your friend's answer 24(y+3) are not divisible with 6y.

The correct answer is 12y(y+3) because it is divisible with both 6y and 4y+12 and

$LCM[\frac{12y(y+3)}{6y};\frac{12y(y+3)}{4y+12}]=LCM[2(y+3);3]=1$;

Have a nice day,

Hush_Hush

4. Thank you!!!

### lcd of 12 and 6y

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