LCM of 870, 581, 430, 484, 819
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 870, 581, 430, 484, 819 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 870, 581, 430, 484, 819. So, keep reading to learn more.
Given numbers are 870,581,430,484,819
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 870,581,430,484,819 is 205136911980.
Find LCM of 870,581,430,484,819 with Prime Factorization
| 2 | 870, 581, 430, 484, 819 |
| 3 | 435, 581, 215, 242, 819 |
| 5 | 145, 581, 215, 242, 273 |
| 7 | 29, 581, 43, 242, 273 |
| 29, 83, 43, 242, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 29 x 83 x 43 x 242 x 39 = 205136911980
Therefore, the lowest common multiple of 870,581,430,484,819 is 205136911980.
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.
870 x 581 x 430 x 484 x 819 = 86157503031600
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.
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
581 : 1, 7, 83, 581
430 : 1, 2, 5, 10, 43, 86, 215, 430
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 870,581,430,484,819, is 1.
Now, the common factors can be found like this.
870:2x 3x 5x 29
581:7x 83
430:2x 5x 43
484:2x 2x 11x 11
819:3x 3x 7x 13
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 5x 7 = 420
Therefore, the value for common factors is 420.
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 = 86157503031600/(1x420)
LCM = 86157503031600/420
LCM = 205136911980
Thus, we can understand that the LCM of 870,581,430,484,819 is 205136911980.
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FAQs on LCM of 870, 581, 430, 484, 819
1. What is the LCM of 870, 581, 430, 484, 819?
Answer: LCM of 870, 581, 430, 484, 819 is 205136911980.
2. How to calculate the LCM of 870, 581, 430, 484, 819?
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 870, 581, 430, 484, 819.
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}.