LCM of 580, 506, 605, 642, 986
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 580, 506, 605, 642, 986 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 580, 506, 605, 642, 986. So, keep reading to learn more.
Given numbers are 580,506,605,642,986
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 580,506,605,642,986 is 8808361980.
Find LCM of 580,506,605,642,986 with Prime Factorization
| 2 | 580, 506, 605, 642, 986 |
| 5 | 290, 253, 605, 321, 493 |
| 11 | 58, 253, 121, 321, 493 |
| 29 | 58, 23, 11, 321, 493 |
| 2, 23, 11, 321, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 29 x 2 x 23 x 11 x 321 x 17 = 8808361980
Therefore, the lowest common multiple of 580,506,605,642,986 is 8808361980.
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.
580 x 506 x 605 x 642 x 986 = 112394698864800
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.
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
506 : 1, 2, 11, 22, 23, 46, 253, 506
605 : 1, 5, 11, 55, 121, 605
642 : 1, 2, 3, 6, 107, 214, 321, 642
986 : 1, 2, 17, 29, 34, 58, 493, 986
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,506,605,642,986, is 1.
Now, the common factors can be found like this.
580:2x 2x 5x 29
506:2x 11x 23
605:5x 11x 11
642:2x 3x 107
986:2x 17x 29
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 2x 5x 11x 29 = 12760
Therefore, the value for common factors is 12760.
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 = 112394698864800/(1x12760)
LCM = 112394698864800/12760
LCM = 8808361980
Thus, we can understand that the LCM of 580,506,605,642,986 is 8808361980.
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FAQs on LCM of 580, 506, 605, 642, 986
1. What is the LCM of 580, 506, 605, 642, 986?
Answer: LCM of 580, 506, 605, 642, 986 is 8808361980.
2. How to calculate the LCM of 580, 506, 605, 642, 986?
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 580, 506, 605, 642, 986.
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}.