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kolbaska11 [484]
3 years ago
8

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

Mathematics
1 answer:
Virty [35]3 years ago
7 0

Answer:

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

Step-by-step explanation:

we know that

The <u>Least Common Multiple</u> (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

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