Question

Question #6a5a1

Answer 1

`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 xx 5` and `14 = 2 xx 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 `-> 2 xx 5 xx 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..

`1/color(blue)2 + 1/color(blue)4`

We have `2 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 = color(red)2`

L.C.M of `4 = color(red)2 xx 2`

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

`:.` L.C.M of `2 and 4 = color(red)2 xx 2 = 4`

`rArr L.C.D = 4`

`rArr 1/4 + 1/4`

Hope this helps!