LCM of 814, 445, 519, 302, 530
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 445, 519, 302, 530 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 814, 445, 519, 302, 530. So, keep reading to learn more.
Given numbers are 814,445,519,302,530
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,445,519,302,530 is 1504542952110.
Find LCM of 814,445,519,302,530 with Prime Factorization
| 2 | 814, 445, 519, 302, 530 |
| 5 | 407, 445, 519, 151, 265 |
| 407, 89, 519, 151, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 407 x 89 x 519 x 151 x 53 = 1504542952110
Therefore, the lowest common multiple of 814,445,519,302,530 is 1504542952110.
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.
814 x 445 x 519 x 302 x 530 = 30090859042200
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
445 : 1, 5, 89, 445
519 : 1, 3, 173, 519
302 : 1, 2, 151, 302
530 : 1, 2, 5, 10, 53, 106, 265, 530
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,445,519,302,530, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
445:5x 89
519:3x 173
302:2x 151
530:2x 5x 53
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 5 = 20
Therefore, the value for common factors is 20.
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 = 30090859042200/(1x20)
LCM = 30090859042200/20
LCM = 1504542952110
Thus, we can understand that the LCM of 814,445,519,302,530 is 1504542952110.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 814, 445, 519, 302, 530
1. What is the LCM of 814, 445, 519, 302, 530?
Answer: LCM of 814, 445, 519, 302, 530 is 1504542952110.
2. How to calculate the LCM of 814, 445, 519, 302, 530?
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 814, 445, 519, 302, 530.
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}.