LCM of 790, 411, 822, 681, 542
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 790, 411, 822, 681, 542 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 790, 411, 822, 681, 542. So, keep reading to learn more.
Given numbers are 790,411,822,681,542
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 790,411,822,681,542 is 19973954730.
Find LCM of 790,411,822,681,542 with Prime Factorization
| 2 | 790, 411, 822, 681, 542 |
| 3 | 395, 411, 411, 681, 271 |
| 137 | 395, 137, 137, 227, 271 |
| 395, 1, 1, 227, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 137 x 395 x 1 x 1 x 227 x 271 = 19973954730
Therefore, the lowest common multiple of 790,411,822,681,542 is 19973954730.
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.
790 x 411 x 822 x 681 x 542 = 98511544728360
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.
790 : 1, 2, 5, 10, 79, 158, 395, 790
411 : 1, 3, 137, 411
822 : 1, 2, 3, 6, 137, 274, 411, 822
681 : 1, 3, 227, 681
542 : 1, 2, 271, 542
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 790,411,822,681,542, is 1.
Now, the common factors can be found like this.
790:2x 5x 79
411:3x 137
822:2x 3x 137
681:3x 227
542:2x 271
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 3x 3x 137 = 4932
Therefore, the value for common factors is 4932.
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 = 98511544728360/(1x4932)
LCM = 98511544728360/4932
LCM = 19973954730
Thus, we can understand that the LCM of 790,411,822,681,542 is 19973954730.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 790, 411, 822, 681, 542
1. What is the LCM of 790, 411, 822, 681, 542?
Answer: LCM of 790, 411, 822, 681, 542 is 19973954730.
2. How to calculate the LCM of 790, 411, 822, 681, 542?
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 790, 411, 822, 681, 542.
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}.