Question

IM STUMPED I USUALLY LOVE THESE PROBLEMS :( The least common multiple of x, 10 and 14 is 70. What is the greatest possible value of x?

Answer 1

x = 35

Explanation:

70 factored is 2 x 5 x 7

x = 35

Answer 2

`x=70`

Explanation:

If we know that the LCM of 10, 14 and x will be 70, that means x has to be a factor of 70.

First, let's find the multiples of 10 and 14 until they equal 70.

`10: 10,20,30,40,50,60,70`

`14:14,28,42,56,70`

Since we're asking for the greatest value of x, that means that x has to be smaller or equal to than 70 but still large enough to be the greatest.

Hey, isn't 70 a factor of 70? The remainder gets to 1 which is a whole number, so 70 is a multiple of 70.

So,
`x = 70`.

Hope this helped!