Find the LCM of 310, 966, 458, 840, 676 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 310, 966, 458, 840, 676. So, keep reading to learn more.
Given numbers are 310,966,458,840,676
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 310,966,458,840,676 is 23178802920.
Find LCM of 310,966,458,840,676 with Prime Factorization
2 | 310, 966, 458, 840, 676 |
2 | 155, 483, 229, 420, 338 |
3 | 155, 483, 229, 210, 169 |
5 | 155, 161, 229, 70, 169 |
7 | 31, 161, 229, 14, 169 |
31, 23, 229, 2, 169 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 31 x 23 x 229 x 2 x 169 = 23178802920
Therefore, the lowest common multiple of 310,966,458,840,676 is 23178802920.
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.
310 x 966 x 458 x 840 x 676 = 77880777811200
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.
310 : 1, 2, 5, 10, 31, 62, 155, 310
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
458 : 1, 2, 229, 458
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
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,966,458,840,676, is 2.
Now, the common factors can be found like this.
310:2x 5x 31
966:2x 3x 7x 23
458:2x 229
840:2x 2x 2x 3x 5x 7
676:2x 2x 13x 13
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 2x 3x 5x 7 = 1680
Therefore, the value for common factors is 1680.
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 = 77880777811200/(2x1680)
LCM = 77880777811200/3360
LCM = 23178802920
Thus, we can understand that the LCM of 310,966,458,840,676 is 23178802920.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 310, 966, 458, 840, 676?
Answer: LCM of 310, 966, 458, 840, 676 is 23178802920.
2. How to calculate the LCM of 310, 966, 458, 840, 676?
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 310, 966, 458, 840, 676.
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}.