LCM of 730, 815, 395, 817, 513
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 730, 815, 395, 817, 513 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 730, 815, 395, 817, 513. So, keep reading to learn more.
Given numbers are 730,815,395,817,513
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 730,815,395,817,513 is 207359232390.
Find LCM of 730,815,395,817,513 with Prime Factorization
| 5 | 730, 815, 395, 817, 513 |
| 19 | 146, 163, 79, 817, 513 |
| 146, 163, 79, 43, 27 |
Multiply the prime numbers at the bottom and the left side.
5 x 19 x 146 x 163 x 79 x 43 x 27 = 207359232390
Therefore, the lowest common multiple of 730,815,395,817,513 is 207359232390.
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.
730 x 815 x 395 x 817 x 513 = 98495635385250
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.
730 : 1, 2, 5, 10, 73, 146, 365, 730
815 : 1, 5, 163, 815
395 : 1, 5, 79, 395
817 : 1, 19, 43, 817
513 : 1, 3, 9, 19, 27, 57, 171, 513
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,815,395,817,513, is 1.
Now, the common factors can be found like this.
730:2x 5x 73
815:5x 163
395:5x 79
817:19x 43
513:3x 3x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 19 = 475
Therefore, the value for common factors is 475.
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 = 98495635385250/(1x475)
LCM = 98495635385250/475
LCM = 207359232390
Thus, we can understand that the LCM of 730,815,395,817,513 is 207359232390.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 730, 815, 395, 817, 513
1. What is the LCM of 730, 815, 395, 817, 513?
Answer: LCM of 730, 815, 395, 817, 513 is 207359232390.
2. How to calculate the LCM of 730, 815, 395, 817, 513?
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 730, 815, 395, 817, 513.
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}.