Question

Find the smallest number that has the factors of 2, 3,4, 5, 6, 7, 8, 9, and 10

Answer 1

That's a fancy way to say lowest common multiple. Do you know how to calculate the lowest common multiple?

Answer 2

no

Answer 3

doi multiply all of them #s

Answer 4

the*

Answer 5

Oh, well... suppose that you're given the list of numbers. The lowest common multiple of all those numbers is the least numbers that is a multiple of all those numbers in the list (i.e., occurs in the multiplication table).

Multiplying all those numbers is a good way to ensure that the number obtained will be a common multiple, but it is not necessary that the number will be the lowest common multiple.

Answer 6

I'm too lazy to explain the method used to obtain the lcm, so I'll just link you.

Answer 7

well add all the numbers and devide it by how many numbers are listed.

Answer 8

what

Answer 9

divide sorry

Answer 10

not devide....

Answer 11

add them??

Answer 12

Suppose that you want to find the lcm of 9, 8, 10.

Step 1: List out the prime factorisation of all the numbers, using exponents when necessary. For example, \(10 = 2\cdot 5\), \(9 = 3^2\), \(8 = 2^3\).

Step 2: List out all the unique factors you see. \(2, 5, 3\)

Step 3: Raise the factors to the highest exponent you see in all the prime factorisations. \(2^3, 5^1, 3^2\)

Step 4: Multiply all the numbers you obtain in step 3.

Answer 13

`1 = 1`
2 = 2^1
3 = 3^1
4 = 2^2
`5 = 5^1`
6 = 2*3
`7 = 7^1`
`8 = 2^3`
`9 = 3^2`
10 = 2*5