We appreciate your visit to Find the LCM of the numbers 44 126 198 and 280. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Final answer:
The least common multiple (LCM) of the numbers 44, 126, 198, and 280 is 27720. This is found by first identifying the prime factors of each number, and then multiplying together the highest power of these prime factors.
Explanation:
To find the least common multiple (LCM) we need to follow few steps. Firstly we will start by finding the prime factorization of each number:
- 44 = 2 x 2 x 11
- 126 = 2 x 3 x 3 x 7
- 198 = 2 x 3 x 3 x 11
- 280 = 2 x 2 x 2 x 5 x 7
Now, the LCM is found by multiplying the highest power of all primes occurring in the numbers. Here, we have the primes 2, 3, 5, 7 and 11. The highest power for 2 is 3 (from 280), for 3 is 2 (from 126 and 198), for 5 is 1 (from 280), for 7 is 1 (from 126 and 280), and for 11 is 1 (from 44 and 198).
Therefore, LCM = 2³ x 3² x 5¹x 7¹ x 11¹ = 8 x 9 x 5 x 7 x 11 = 27720.
Thus, the LCM of 44, 126, 198 and 280 is 27720.
Learn more about Least Common Multiple here:
https://brainly.com/question/30060162
#SPJ11
Thanks for taking the time to read Find the LCM of the numbers 44 126 198 and 280. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
