Find the LCM of 328, 930, 287, 884, 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 328, 930, 287, 884, 391. So, keep reading to learn more.
Given numbers are 328,930,287,884,391
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 328,930,287,884,391 is 5426814120.
Find LCM of 328,930,287,884,391 with Prime Factorization
2 | 328, 930, 287, 884, 391 |
2 | 164, 465, 287, 442, 391 |
17 | 82, 465, 287, 221, 391 |
41 | 82, 465, 287, 13, 23 |
2, 465, 7, 13, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 41 x 2 x 465 x 7 x 13 x 23 = 5426814120
Therefore, the lowest common multiple of 328,930,287,884,391 is 5426814120.
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.
328 x 930 x 287 x 884 x 391 = 30259915533120
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.
328 : 1, 2, 4, 8, 41, 82, 164, 328
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
287 : 1, 7, 41, 287
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
391 : 1, 17, 23, 391
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,930,287,884,391, is 1.
Now, the common factors can be found like this.
328:2x 2x 2x 41
930:2x 3x 5x 31
287:7x 41
884:2x 2x 13x 17
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 2x 2x 17x 41 = 5576
Therefore, the value for common factors is 5576.
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 = 30259915533120/(1x5576)
LCM = 30259915533120/5576
LCM = 5426814120
Thus, we can understand that the LCM of 328,930,287,884,391 is 5426814120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 328, 930, 287, 884, 391?
Answer: LCM of 328, 930, 287, 884, 391 is 5426814120.
2. How to calculate the LCM of 328, 930, 287, 884, 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 328, 930, 287, 884, 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}.