Question

Question #ea194

Answer 1

Please see solution below;

Explanation:

First you find the different factors of each..

Note that Least Common Multiple is same as LCM (Popularly known otherwise)

Here we go..

Factors of `5 = 1 , 5`

Factors of `13 = 1, 13`

Note Factors are like digits that can be used to get the given value, like for example we can only get `5` from `1 and 5`, like wise that applies to `13`

Hence the LCM of `5 and 15` is;

`rArr 5 xx 13 = 65`

Answer 2

`65`

Explanation:

write down the multiples of each number and then pick out the common ones and hence the least

multiples of

`5:{5,10,15,20,25,30,35,40,45,50,55,60,color(red)(65),70,75,80,..}`

multiples of

`13:{13,26,39,52,color(red)(65),78,91,...}`

least common multiple`=65`

Answer 3

`LCM = 5xx13 = 65`

Explanation:

Both `5 and 13` are prime numbers,

The only common factor they have is `1`.

The LCM has to be divisible by `5` and `13`.

The LCM will therefore be the product of `5 and 13`

`LCM = 5xx13 = 65`