Question

Which of the following expressions represents the least common multiple of 15, 18, and 25?

Answer 1

Answer:

$(2)(3^2)(5^2)$

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

$15=(3)(5)$

$18=(2)(3^2)$

$25=(5^2)$

Multiply common and uncommon numbers with their greatest exponent

so

The LCM is equal to

$LCM=(2)(3^2)(5^2)$

$LCM=450$