LCM of 857, 323, 603, 451, 902
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 857, 323, 603, 451, 902 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 857, 323, 603, 451, 902. So, keep reading to learn more.
Given numbers are 857,323,603,451,902
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 857,323,603,451,902 is 150559163766.
Find LCM of 857,323,603,451,902 with Prime Factorization
| 11 | 857, 323, 603, 451, 902 |
| 41 | 857, 323, 603, 41, 82 |
| 857, 323, 603, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
11 x 41 x 857 x 323 x 603 x 1 x 2 = 150559163766
Therefore, the lowest common multiple of 857,323,603,451,902 is 150559163766.
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.
857 x 323 x 603 x 451 x 902 = 67902182858466
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.
857 : 1, 857
323 : 1, 17, 19, 323
603 : 1, 3, 9, 67, 201, 603
451 : 1, 11, 41, 451
902 : 1, 2, 11, 22, 41, 82, 451, 902
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 857,323,603,451,902, is 1.
Now, the common factors can be found like this.
857:857
323:17x 19
603:3x 3x 67
451:11x 41
902:2x 11x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 41 = 451
Therefore, the value for common factors is 451.
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 = 67902182858466/(1x451)
LCM = 67902182858466/451
LCM = 150559163766
Thus, we can understand that the LCM of 857,323,603,451,902 is 150559163766.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 857, 323, 603, 451, 902
1. What is the LCM of 857, 323, 603, 451, 902?
Answer: LCM of 857, 323, 603, 451, 902 is 150559163766.
2. How to calculate the LCM of 857, 323, 603, 451, 902?
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 857, 323, 603, 451, 902.
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}.