Find the LCM of 860, 730, 910, 258, 311 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 860, 730, 910, 258, 311. So, keep reading to learn more.
Given numbers are 860,730,910,258,311
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 860,730,910,258,311 is 5330210340.
Find LCM of 860,730,910,258,311 with Prime Factorization
2 | 860, 730, 910, 258, 311 |
5 | 430, 365, 455, 129, 311 |
43 | 86, 73, 91, 129, 311 |
2, 73, 91, 3, 311 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 43 x 2 x 73 x 91 x 3 x 311 = 5330210340
Therefore, the lowest common multiple of 860,730,910,258,311 is 5330210340.
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.
860 x 730 x 910 x 258 x 311 = 45839808924000
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.
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
730 : 1, 2, 5, 10, 73, 146, 365, 730
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
258 : 1, 2, 3, 6, 43, 86, 129, 258
311 : 1, 311
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 860,730,910,258,311, is 1.
Now, the common factors can be found like this.
860:2x 2x 5x 43
730:2x 5x 73
910:2x 5x 7x 13
258:2x 3x 43
311:311
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 5x 5x 43 = 8600
Therefore, the value for common factors is 8600.
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 = 45839808924000/(1x8600)
LCM = 45839808924000/8600
LCM = 5330210340
Thus, we can understand that the LCM of 860,730,910,258,311 is 5330210340.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 860, 730, 910, 258, 311?
Answer: LCM of 860, 730, 910, 258, 311 is 5330210340.
2. How to calculate the LCM of 860, 730, 910, 258, 311?
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 860, 730, 910, 258, 311.
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}.