LCM of 856, 559, 326, 123, 871
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 856, 559, 326, 123, 871 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 856, 559, 326, 123, 871. So, keep reading to learn more.
Given numbers are 856,559,326,123,871
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 856,559,326,123,871 is 642766288632.
Find LCM of 856,559,326,123,871 with Prime Factorization
| 2 | 856, 559, 326, 123, 871 |
| 13 | 428, 559, 163, 123, 871 |
| 428, 43, 163, 123, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 428 x 43 x 163 x 123 x 67 = 642766288632
Therefore, the lowest common multiple of 856,559,326,123,871 is 642766288632.
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.
856 x 559 x 326 x 123 x 871 = 16711923504432
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.
856 : 1, 2, 4, 8, 107, 214, 428, 856
559 : 1, 13, 43, 559
326 : 1, 2, 163, 326
123 : 1, 3, 41, 123
871 : 1, 13, 67, 871
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 856,559,326,123,871, is 1.
Now, the common factors can be found like this.
856:2x 2x 2x 107
559:13x 43
326:2x 163
123:3x 41
871:13x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13 = 26
Therefore, the value for common factors is 26.
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 = 16711923504432/(1x26)
LCM = 16711923504432/26
LCM = 642766288632
Thus, we can understand that the LCM of 856,559,326,123,871 is 642766288632.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 856, 559, 326, 123, 871
1. What is the LCM of 856, 559, 326, 123, 871?
Answer: LCM of 856, 559, 326, 123, 871 is 642766288632.
2. How to calculate the LCM of 856, 559, 326, 123, 871?
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 856, 559, 326, 123, 871.
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}.