LCM of 780, 408, 856, 821
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 780, 408, 856, 821 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 780, 408, 856, 821. So, keep reading to learn more.
Given numbers are 780,408,856,821
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 780,408,856,821 is 2329702440.
Find LCM of 780,408,856,821 with Prime Factorization
| 2 | 780, 408, 856, 821 |
| 2 | 390, 204, 428, 821 |
| 2 | 195, 102, 214, 821 |
| 3 | 195, 51, 107, 821 |
| 65, 17, 107, 821 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 65 x 17 x 107 x 821 = 2329702440
Therefore, the lowest common multiple of 780,408,856,821 is 2329702440.
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.
780 x 408 x 856 x 821 = 223651434240
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.
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
856 : 1, 2, 4, 8, 107, 214, 428, 856
821 : 1, 821
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,408,856,821, is 1.
Now, the common factors can be found like this.
780:2x 2x 3x 5x 13
408:2x 2x 2x 3x 17
856:2x 2x 2x 107
821:821
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 3 = 96
Therefore, the value for common factors is 96.
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 = 223651434240/(1x96)
LCM = 223651434240/96
LCM = 2329702440
Thus, we can understand that the LCM of 780,408,856,821 is 2329702440.
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FAQs on LCM of 780, 408, 856, 821
1. What is the LCM of 780, 408, 856, 821?
Answer: LCM of 780, 408, 856, 821 is 2329702440.
2. How to calculate the LCM of 780, 408, 856, 821?
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 780, 408, 856, 821.
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}.