Find the LCM of 858, 534, 447, 310, 880 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 858, 534, 447, 310, 880. So, keep reading to learn more.
Given numbers are 858,534,447,310,880
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 858,534,447,310,880 is 14108643120.
Find LCM of 858,534,447,310,880 with Prime Factorization
2 | 858, 534, 447, 310, 880 |
3 | 429, 267, 447, 155, 440 |
5 | 143, 89, 149, 155, 440 |
11 | 143, 89, 149, 31, 88 |
13, 89, 149, 31, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 13 x 89 x 149 x 31 x 8 = 14108643120
Therefore, the lowest common multiple of 858,534,447,310,880 is 14108643120.
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.
858 x 534 x 447 x 310 x 880 = 55870226755200
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.
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
534 : 1, 2, 3, 6, 89, 178, 267, 534
447 : 1, 3, 149, 447
310 : 1, 2, 5, 10, 31, 62, 155, 310
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,534,447,310,880, is 1.
Now, the common factors can be found like this.
858:2x 3x 11x 13
534:2x 3x 89
447:3x 149
310:2x 5x 31
880:2x 2x 2x 2x 5x 11
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 3x 3x 5x 11 = 3960
Therefore, the value for common factors is 3960.
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 = 55870226755200/(1x3960)
LCM = 55870226755200/3960
LCM = 14108643120
Thus, we can understand that the LCM of 858,534,447,310,880 is 14108643120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 858, 534, 447, 310, 880?
Answer: LCM of 858, 534, 447, 310, 880 is 14108643120.
2. How to calculate the LCM of 858, 534, 447, 310, 880?
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 858, 534, 447, 310, 880.
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}.