Find the LCM of 643, 287, 779, 779, 382 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 643, 287, 779, 779, 382. So, keep reading to learn more.
Given numbers are 643,287,779,779,382
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 643,287,779,779,382 is 1339398578.
Find LCM of 643,287,779,779,382 with Prime Factorization
19 | 643, 287, 779, 779, 382 |
41 | 643, 287, 41, 41, 382 |
643, 7, 1, 1, 382 |
Multiply the prime numbers at the bottom and the left side.
19 x 41 x 643 x 7 x 1 x 1 x 382 = 1339398578
Therefore, the lowest common multiple of 643,287,779,779,382 is 1339398578.
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.
643 x 287 x 779 x 779 x 382 = 42779051182742
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.
643 : 1, 643
287 : 1, 7, 41, 287
779 : 1, 19, 41, 779
779 : 1, 19, 41, 779
382 : 1, 2, 191, 382
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 643,287,779,779,382, is 1.
Now, the common factors can be found like this.
643:643
287:7x 41
779:19x 41
779:19x 41
382:2x 191
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19x 41x 41 = 31939
Therefore, the value for common factors is 31939.
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 = 42779051182742/(1x31939)
LCM = 42779051182742/31939
LCM = 1339398578
Thus, we can understand that the LCM of 643,287,779,779,382 is 1339398578.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 643, 287, 779, 779, 382?
Answer: LCM of 643, 287, 779, 779, 382 is 1339398578.
2. How to calculate the LCM of 643, 287, 779, 779, 382?
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 643, 287, 779, 779, 382.
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}.