Find the LCM of 782, 960, 576, 901, 439 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 782, 960, 576, 901, 439. So, keep reading to learn more.
Given numbers are 782,960,576,901,439
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,960,576,901,439 is 26200503360.
Find LCM of 782,960,576,901,439 with Prime Factorization
2 | 782, 960, 576, 901, 439 |
2 | 391, 480, 288, 901, 439 |
2 | 391, 240, 144, 901, 439 |
2 | 391, 120, 72, 901, 439 |
2 | 391, 60, 36, 901, 439 |
2 | 391, 30, 18, 901, 439 |
3 | 391, 15, 9, 901, 439 |
17 | 391, 5, 3, 901, 439 |
23, 5, 3, 53, 439 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 3 x 17 x 23 x 5 x 3 x 53 x 439 = 26200503360
Therefore, the lowest common multiple of 782,960,576,901,439 is 26200503360.
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.
782 x 960 x 576 x 901 x 439 = 171036885934080
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.
782 : 1, 2, 17, 23, 34, 46, 391, 782
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
901 : 1, 17, 53, 901
439 : 1, 439
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,960,576,901,439, is 1.
Now, the common factors can be found like this.
782:2x 17x 23
960:2x 2x 2x 2x 2x 2x 3x 5
576:2x 2x 2x 2x 2x 2x 3x 3
901:17x 53
439:439
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 2x 2x 2x 2x 3x 17 = 6528
Therefore, the value for common factors is 6528.
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 = 171036885934080/(1x6528)
LCM = 171036885934080/6528
LCM = 26200503360
Thus, we can understand that the LCM of 782,960,576,901,439 is 26200503360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 782, 960, 576, 901, 439?
Answer: LCM of 782, 960, 576, 901, 439 is 26200503360.
2. How to calculate the LCM of 782, 960, 576, 901, 439?
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 782, 960, 576, 901, 439.
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}.