Question

What is the least common multiple of 4,6, and 9?

Answer 1

36

Explanation:

One way we can use is prime factorisation.
We factorise `4, 6` and `9`

`4= 2^2`
`6=2*3`
`9=3^3`

Once we have this we use the highest of each prime number. So in this case we have the `2^2` and `3^3` as our highest of those to primes.

Next all we need to do is times those together
`2^2= 4`
`3^3=9`

`4*9=36`

`36` is the LCM of `4, 6` and `9`

Answer 2

`LCM=36`

Explanation:

The following layout makes it easy to find the LCM,
Write each number as the product of its prime factors:

`" "4 = 2xx2`
`" "6 = 2" "xx3`
`" "9=ul(color(white)(xxx..x)3xx3)`
`LCM=2xx2xx3xx3=36`

You need all of the factors but without any duplicates.