Question 6a5a1

Aug 31, 2017

$70$

Explanation:

The Least Common Denominator (L.C.D) as you said, can be gotten from the Lowest Common Multiple (L.C.M) from of the two digits..

Hence we have for $10 = 2 \times 5$ and $14 = 2 \times 7$

Since $2$ is both common between them, we should take of of the $2 ' s$ instead of both..

Hence the L.C.M for both digits are $\to 2 \times 5 \times 7 = 70$

Hence the L.C.D of $10$ and $14$ is $70$

Though the L.C.D, is best explained using fractions, but what is given is just whole number..

To make it more crystal..

An example, Find the L.C.D of 1/2 + 1/4 = ?#

Like i said it has to do with the Denominators, like making the denominators common..

$\frac{1}{\textcolor{b l u e}{2}} + \frac{1}{\textcolor{b l u e}{4}}$

We have $2 \mathmr{and} 4$ as the respective denominators, so in other to make it common, we have to look for the L.C.M

L.C.M of $2 = \textcolor{red}{2}$

L.C.M of $4 = \textcolor{red}{2} \times 2$

The one in red color is common in both digits, so we will just take one $2$ out of them both..

$\therefore$ L.C.M of $2 \mathmr{and} 4 = \textcolor{red}{2} \times 2 = 4$

$\Rightarrow L . C . D = 4$

$\Rightarrow \frac{1}{4} + \frac{1}{4}$

Hope this helps!