LCM of 816, 340, 323, 857
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 816, 340, 323, 857 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 816, 340, 323, 857. So, keep reading to learn more.
Given numbers are 816,340,323,857
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 816,340,323,857 is 66434640.
Find LCM of 816,340,323,857 with Prime Factorization
| 2 | 816, 340, 323, 857 |
| 2 | 408, 170, 323, 857 |
| 17 | 204, 85, 323, 857 |
| 12, 5, 19, 857 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 12 x 5 x 19 x 857 = 66434640
Therefore, the lowest common multiple of 816,340,323,857 is 66434640.
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.
816 x 340 x 323 x 857 = 76798443840
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.
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
323 : 1, 17, 19, 323
857 : 1, 857
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,340,323,857, is 1.
Now, the common factors can be found like this.
816:2x 2x 2x 2x 3x 17
340:2x 2x 5x 17
323:17x 19
857:857
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 17x 17 = 1156
Therefore, the value for common factors is 1156.
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 = 76798443840/(1x1156)
LCM = 76798443840/1156
LCM = 66434640
Thus, we can understand that the LCM of 816,340,323,857 is 66434640.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 816, 340, 323, 857
1. What is the LCM of 816, 340, 323, 857?
Answer: LCM of 816, 340, 323, 857 is 66434640.
2. How to calculate the LCM of 816, 340, 323, 857?
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 816, 340, 323, 857.
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}.