LCM of 814, 535, 568, 350, 856
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 535, 568, 350, 856 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 814, 535, 568, 350, 856. So, keep reading to learn more.
Given numbers are 814,535,568,350,856
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,535,568,350,856 is 4328770600.
Find LCM of 814,535,568,350,856 with Prime Factorization
| 2 | 814, 535, 568, 350, 856 |
| 2 | 407, 535, 284, 175, 428 |
| 2 | 407, 535, 142, 175, 214 |
| 5 | 407, 535, 71, 175, 107 |
| 107 | 407, 107, 71, 35, 107 |
| 407, 1, 71, 35, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 107 x 407 x 1 x 71 x 35 x 1 = 4328770600
Therefore, the lowest common multiple of 814,535,568,350,856 is 4328770600.
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.
814 x 535 x 568 x 350 x 856 = 74108552672000
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
535 : 1, 5, 107, 535
568 : 1, 2, 4, 8, 71, 142, 284, 568
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
856 : 1, 2, 4, 8, 107, 214, 428, 856
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,535,568,350,856, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
535:5x 107
568:2x 2x 2x 71
350:2x 5x 5x 7
856:2x 2x 2x 107
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 5x 107 = 17120
Therefore, the value for common factors is 17120.
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 = 74108552672000/(1x17120)
LCM = 74108552672000/17120
LCM = 4328770600
Thus, we can understand that the LCM of 814,535,568,350,856 is 4328770600.
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FAQs on LCM of 814, 535, 568, 350, 856
1. What is the LCM of 814, 535, 568, 350, 856?
Answer: LCM of 814, 535, 568, 350, 856 is 4328770600.
2. How to calculate the LCM of 814, 535, 568, 350, 856?
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 814, 535, 568, 350, 856.
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}.