LCM of 598, 459, 351, 115, 776
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 598, 459, 351, 115, 776 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 598, 459, 351, 115, 776. So, keep reading to learn more.
Given numbers are 598,459,351,115,776
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,459,351,115,776 is 532495080.
Find LCM of 598,459,351,115,776 with Prime Factorization
| 2 | 598, 459, 351, 115, 776 |
| 3 | 299, 459, 351, 115, 388 |
| 3 | 299, 153, 117, 115, 388 |
| 3 | 299, 51, 39, 115, 388 |
| 13 | 299, 17, 13, 115, 388 |
| 23 | 23, 17, 1, 115, 388 |
| 1, 17, 1, 5, 388 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 13 x 23 x 1 x 17 x 1 x 5 x 388 = 532495080
Therefore, the lowest common multiple of 598,459,351,115,776 is 532495080.
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.
598 x 459 x 351 x 115 x 776 = 8597665561680
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.
598 : 1, 2, 13, 23, 26, 46, 299, 598
459 : 1, 3, 9, 17, 27, 51, 153, 459
351 : 1, 3, 9, 13, 27, 39, 117, 351
115 : 1, 5, 23, 115
776 : 1, 2, 4, 8, 97, 194, 388, 776
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,459,351,115,776, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
459:3x 3x 3x 17
351:3x 3x 3x 13
115:5x 23
776:2x 2x 2x 97
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 3x 3x 13x 23 = 16146
Therefore, the value for common factors is 16146.
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 = 8597665561680/(1x16146)
LCM = 8597665561680/16146
LCM = 532495080
Thus, we can understand that the LCM of 598,459,351,115,776 is 532495080.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 598, 459, 351, 115, 776
1. What is the LCM of 598, 459, 351, 115, 776?
Answer: LCM of 598, 459, 351, 115, 776 is 532495080.
2. How to calculate the LCM of 598, 459, 351, 115, 776?
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 598, 459, 351, 115, 776.
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}.