Find the LCM of 483, 585, 898, 552, 391 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 483, 585, 898, 552, 391. So, keep reading to learn more.
Given numbers are 483,585,898,552,391
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 483,585,898,552,391 is 5751312840.
Find LCM of 483,585,898,552,391 with Prime Factorization
2 | 483, 585, 898, 552, 391 |
3 | 483, 585, 449, 276, 391 |
23 | 161, 195, 449, 92, 391 |
7, 195, 449, 4, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 7 x 195 x 449 x 4 x 17 = 5751312840
Therefore, the lowest common multiple of 483,585,898,552,391 is 5751312840.
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.
483 x 585 x 898 x 552 x 391 = 54764000862480
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.
483 : 1, 3, 7, 21, 23, 69, 161, 483
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
898 : 1, 2, 449, 898
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
391 : 1, 17, 23, 391
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 483,585,898,552,391, is 1.
Now, the common factors can be found like this.
483:3x 7x 23
585:3x 3x 5x 13
898:2x 449
552:2x 2x 2x 3x 23
391:17x 23
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 23x 23 = 9522
Therefore, the value for common factors is 9522.
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 = 54764000862480/(1x9522)
LCM = 54764000862480/9522
LCM = 5751312840
Thus, we can understand that the LCM of 483,585,898,552,391 is 5751312840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 483, 585, 898, 552, 391?
Answer: LCM of 483, 585, 898, 552, 391 is 5751312840.
2. How to calculate the LCM of 483, 585, 898, 552, 391?
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 483, 585, 898, 552, 391.
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}.