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what is the lcm of 54,72,90

Sagot :

Misspancitcantonidn

Answer:

The LCM of 54, 72, 90 is 1080.

Step-by-step explanation:

Finding the LCM

LCM is the short term for least common multiple. It is the smallest number that is a multiple of all the given numbers.

Two Ways to Find the LCM

1. Listing Method

This is the method where you need to list down the multiples of the given numbers.

2. Prime Factorization

This is the method where you need to give the prime factors of the given numbers, align the factors then multiply.

To find the LCM of 54, 72, 90, we are going to use the second way, the prime factorization method.

Solution:

Finding the LCM Using Prime Factorization

54 = 2 × 3 × 3 × 3

72 = 2 × 2 × 2 × 3 × 3

90 = 2 × 5 × 3 × 3

Align the factors.

54 = 2 × 3 × 3 × 3

72 = 2 × 3 × 3 × 2 × 2

90 = 2 × 3 × 3 × 5

2 × 3 × 3 × 3 × 2 × 5 × 2

Multiply.

2 × 3 × 3 × 3 × 2 × 5 × 2 = 1080

Final Answer:

1080

For examples of finding the LCM of numbers, visit the links:

https://brainly.ph/question/1674403

https://brainly.ph/question/1893911

https://brainly.ph/question/2065903

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