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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