Find the LCM of 581, 605, 341, 689, 423 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 581, 605, 341, 689, 423. So, keep reading to learn more.
Given numbers are 581,605,341,689,423
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 581,605,341,689,423 is 3175797409785.
Find LCM of 581,605,341,689,423 with Prime Factorization
11 | 581, 605, 341, 689, 423 |
581, 55, 31, 689, 423 |
Multiply the prime numbers at the bottom and the left side.
11 x 581 x 55 x 31 x 689 x 423 = 3175797409785
Therefore, the lowest common multiple of 581,605,341,689,423 is 3175797409785.
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.
581 x 605 x 341 x 689 x 423 = 34933771507635
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.
581 : 1, 7, 83, 581
605 : 1, 5, 11, 55, 121, 605
341 : 1, 11, 31, 341
689 : 1, 13, 53, 689
423 : 1, 3, 9, 47, 141, 423
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 581,605,341,689,423, is 1.
Now, the common factors can be found like this.
581:7x 83
605:5x 11x 11
341:11x 31
689:13x 53
423:3x 3x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 34933771507635/(1x11)
LCM = 34933771507635/11
LCM = 3175797409785
Thus, we can understand that the LCM of 581,605,341,689,423 is 3175797409785.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 581, 605, 341, 689, 423?
Answer: LCM of 581, 605, 341, 689, 423 is 3175797409785.
2. How to calculate the LCM of 581, 605, 341, 689, 423?
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 581, 605, 341, 689, 423.
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}.