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Which of the following expressions represents the least common multiple of 15, 18, and 25?
2 · 3 · 5
2 · 3 2 · 5 2
2 · 3 3 · 5 3
2 · 3 2 · 5 3

Respuesta :

calculista

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]

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