LCM of 558, 589, 702, 676, 510
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 558, 589, 702, 676, 510 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 558, 589, 702, 676, 510. So, keep reading to learn more.
Given numbers are 558,589,702,676,510
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 558,589,702,676,510 is 913786380.
Find LCM of 558,589,702,676,510 with Prime Factorization
| 2 | 558, 589, 702, 676, 510 |
| 3 | 279, 589, 351, 338, 255 |
| 3 | 93, 589, 117, 338, 85 |
| 13 | 31, 589, 39, 338, 85 |
| 31 | 31, 589, 3, 26, 85 |
| 1, 19, 3, 26, 85 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 31 x 1 x 19 x 3 x 26 x 85 = 913786380
Therefore, the lowest common multiple of 558,589,702,676,510 is 913786380.
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.
558 x 589 x 702 x 676 x 510 = 79543276806240
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.
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
589 : 1, 19, 31, 589
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 558,589,702,676,510, is 1.
Now, the common factors can be found like this.
558:2x 3x 3x 31
589:19x 31
702:2x 3x 3x 3x 13
676:2x 2x 13x 13
510:2x 3x 5x 17
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 3x 3x 3x 13x 31 = 87048
Therefore, the value for common factors is 87048.
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 = 79543276806240/(1x87048)
LCM = 79543276806240/87048
LCM = 913786380
Thus, we can understand that the LCM of 558,589,702,676,510 is 913786380.
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FAQs on LCM of 558, 589, 702, 676, 510
1. What is the LCM of 558, 589, 702, 676, 510?
Answer: LCM of 558, 589, 702, 676, 510 is 913786380.
2. How to calculate the LCM of 558, 589, 702, 676, 510?
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 558, 589, 702, 676, 510.
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}.