LCM of 179, 840, 210, 458, 857
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 179, 840, 210, 458, 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 179, 840, 210, 458, 857. So, keep reading to learn more.
Given numbers are 179,840,210,458,857
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 179,840,210,458,857 is 29508601080.
Find LCM of 179,840,210,458,857 with Prime Factorization
| 2 | 179, 840, 210, 458, 857 |
| 3 | 179, 420, 105, 229, 857 |
| 5 | 179, 140, 35, 229, 857 |
| 7 | 179, 28, 7, 229, 857 |
| 179, 4, 1, 229, 857 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 179 x 4 x 1 x 229 x 857 = 29508601080
Therefore, the lowest common multiple of 179,840,210,458,857 is 29508601080.
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.
179 x 840 x 210 x 458 x 857 = 12393612453600
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.
179 : 1, 179
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
458 : 1, 2, 229, 458
857 : 1, 857
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 179,840,210,458,857, is 1.
Now, the common factors can be found like this.
179:179
840:2x 2x 2x 3x 5x 7
210:2x 3x 5x 7
458:2x 229
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 3x 5x 7 = 420
Therefore, the value for common factors is 420.
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 = 12393612453600/(1x420)
LCM = 12393612453600/420
LCM = 29508601080
Thus, we can understand that the LCM of 179,840,210,458,857 is 29508601080.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 179, 840, 210, 458, 857
1. What is the LCM of 179, 840, 210, 458, 857?
Answer: LCM of 179, 840, 210, 458, 857 is 29508601080.
2. How to calculate the LCM of 179, 840, 210, 458, 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 179, 840, 210, 458, 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}.