LCM of 598, 771, 280, 891, 481
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 598, 771, 280, 891, 481 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 598, 771, 280, 891, 481. So, keep reading to learn more.
Given numbers are 598,771,280,891,481
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,771,280,891,481 is 709319290680.
Find LCM of 598,771,280,891,481 with Prime Factorization
| 2 | 598, 771, 280, 891, 481 |
| 3 | 299, 771, 140, 891, 481 |
| 13 | 299, 257, 140, 297, 481 |
| 23, 257, 140, 297, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 23 x 257 x 140 x 297 x 37 = 709319290680
Therefore, the lowest common multiple of 598,771,280,891,481 is 709319290680.
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.
598 x 771 x 280 x 891 x 481 = 55326904673040
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.
598 : 1, 2, 13, 23, 26, 46, 299, 598
771 : 1, 3, 257, 771
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
481 : 1, 13, 37, 481
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,771,280,891,481, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
771:3x 257
280:2x 2x 2x 5x 7
891:3x 3x 3x 3x 11
481:13x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 13 = 78
Therefore, the value for common factors is 78.
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 = 55326904673040/(1x78)
LCM = 55326904673040/78
LCM = 709319290680
Thus, we can understand that the LCM of 598,771,280,891,481 is 709319290680.
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FAQs on LCM of 598, 771, 280, 891, 481
1. What is the LCM of 598, 771, 280, 891, 481?
Answer: LCM of 598, 771, 280, 891, 481 is 709319290680.
2. How to calculate the LCM of 598, 771, 280, 891, 481?
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 598, 771, 280, 891, 481.
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}.