Answer:
[tex](2)(3^2)(5^2)[/tex]
Step-by-step explanation:
we know that
The Least Common Multiple (LCM) of a group of numbers is the smallest number that is a multiple of all the numbers.
we have
15,18 and 25
Decompose the numbers in prime factors
[tex]15=(3)(5)[/tex]
[tex]18=(2)(3^2)[/tex]
[tex]25=(5^2)[/tex]
Multiply common and uncommon numbers with their greatest exponent
so
The LCM is equal to
[tex]LCM=(2)(3^2)(5^2)[/tex]
[tex]LCM=450[/tex]
