LCM of 439, 810, 551, 678, 198
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 439, 810, 551, 678, 198 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 439, 810, 551, 678, 198. So, keep reading to learn more.
Given numbers are 439,810,551,678,198
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 439,810,551,678,198 is 243541101870.
Find LCM of 439,810,551,678,198 with Prime Factorization
| 2 | 439, 810, 551, 678, 198 |
| 3 | 439, 405, 551, 339, 99 |
| 3 | 439, 135, 551, 113, 33 |
| 439, 45, 551, 113, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 439 x 45 x 551 x 113 x 11 = 243541101870
Therefore, the lowest common multiple of 439,810,551,678,198 is 243541101870.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
439 x 810 x 551 x 678 x 198 = 26302439001960
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
439 : 1, 439
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
551 : 1, 19, 29, 551
678 : 1, 2, 3, 6, 113, 226, 339, 678
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 439,810,551,678,198, is 1.
Now, the common factors can be found like this.
439:439
810:2x 3x 3x 3x 3x 5
551:19x 29
678:2x 3x 113
198:2x 3x 3x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 3 = 108
Therefore, the value for common factors is 108.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 26302439001960/(1x108)
LCM = 26302439001960/108
LCM = 243541101870
Thus, we can understand that the LCM of 439,810,551,678,198 is 243541101870.
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FAQs on LCM of 439, 810, 551, 678, 198
1. What is the LCM of 439, 810, 551, 678, 198?
Answer: LCM of 439, 810, 551, 678, 198 is 243541101870.
2. How to calculate the LCM of 439, 810, 551, 678, 198?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 439, 810, 551, 678, 198.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.