LCM of 431, 559, 299, 682, 874
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 431, 559, 299, 682, 874 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 431, 559, 299, 682, 874. So, keep reading to learn more.
Given numbers are 431,559,299,682,874
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 431,559,299,682,874 is 71805033586.
Find LCM of 431,559,299,682,874 with Prime Factorization
| 2 | 431, 559, 299, 682, 874 |
| 13 | 431, 559, 299, 341, 437 |
| 23 | 431, 43, 23, 341, 437 |
| 431, 43, 1, 341, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 23 x 431 x 43 x 1 x 341 x 19 = 71805033586
Therefore, the lowest common multiple of 431,559,299,682,874 is 71805033586.
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.
431 x 559 x 299 x 682 x 874 = 42939410084428
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.
431 : 1, 431
559 : 1, 13, 43, 559
299 : 1, 13, 23, 299
682 : 1, 2, 11, 22, 31, 62, 341, 682
874 : 1, 2, 19, 23, 38, 46, 437, 874
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 431,559,299,682,874, is 1.
Now, the common factors can be found like this.
431:431
559:13x 43
299:13x 23
682:2x 11x 31
874:2x 19x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 23 = 598
Therefore, the value for common factors is 598.
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 = 42939410084428/(1x598)
LCM = 42939410084428/598
LCM = 71805033586
Thus, we can understand that the LCM of 431,559,299,682,874 is 71805033586.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 431, 559, 299, 682, 874
1. What is the LCM of 431, 559, 299, 682, 874?
Answer: LCM of 431, 559, 299, 682, 874 is 71805033586.
2. How to calculate the LCM of 431, 559, 299, 682, 874?
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 431, 559, 299, 682, 874.
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}.