LCM of 580, 513, 374, 627, 493
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 580, 513, 374, 627, 493 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, 513, 374, 627, 493. So, keep reading to learn more.
Given numbers are 580,513,374,627,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 580,513,374,627,493 is 55639980.
Find LCM of 580,513,374,627,493 with Prime Factorization
| 2 | 580, 513, 374, 627, 493 |
| 3 | 290, 513, 187, 627, 493 |
| 11 | 290, 171, 187, 209, 493 |
| 17 | 290, 171, 17, 19, 493 |
| 19 | 290, 171, 1, 19, 29 |
| 29 | 290, 9, 1, 1, 29 |
| 10, 9, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 17 x 19 x 29 x 10 x 9 x 1 x 1 x 1 = 55639980
Therefore, the lowest common multiple of 580,513,374,627,493 is 55639980.
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 513 x 374 x 627 x 493 = 34397859715560
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
513 : 1, 3, 9, 19, 27, 57, 171, 513
374 : 1, 2, 11, 17, 22, 34, 187, 374
627 : 1, 3, 11, 19, 33, 57, 209, 627
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,513,374,627,493, is 1.
Now, the common factors can be found like this.
580:2x 2x 5x 29
513:3x 3x 3x 19
374:2x 11x 17
627:3x 11x 19
493:17x 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 3x 11x 17x 19x 29 = 618222
Therefore, the value for common factors is 618222.
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 = 34397859715560/(1x618222)
LCM = 34397859715560/618222
LCM = 55639980
Thus, we can understand that the LCM of 580,513,374,627,493 is 55639980.
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FAQs on LCM of 580, 513, 374, 627, 493
1. What is the LCM of 580, 513, 374, 627, 493?
Answer: LCM of 580, 513, 374, 627, 493 is 55639980.
2. How to calculate the LCM of 580, 513, 374, 627, 493?
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, 513, 374, 627, 493.
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}.