Find the LCM of 805, 944, 357, 676, 846 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 805, 944, 357, 676, 846. So, keep reading to learn more.
Given numbers are 805,944,357,676,846
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 805,944,357,676,846 is 923514817680.
Find LCM of 805,944,357,676,846 with Prime Factorization
2 | 805, 944, 357, 676, 846 |
2 | 805, 472, 357, 338, 423 |
3 | 805, 236, 357, 169, 423 |
7 | 805, 236, 119, 169, 141 |
115, 236, 17, 169, 141 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 115 x 236 x 17 x 169 x 141 = 923514817680
Therefore, the lowest common multiple of 805,944,357,676,846 is 923514817680.
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.
805 x 944 x 357 x 676 x 846 = 155150489370240
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.
805 : 1, 5, 7, 23, 35, 115, 161, 805
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
357 : 1, 3, 7, 17, 21, 51, 119, 357
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 805,944,357,676,846, is 1.
Now, the common factors can be found like this.
805:5x 7x 23
944:2x 2x 2x 2x 59
357:3x 7x 17
676:2x 2x 13x 13
846:2x 3x 3x 47
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 7 = 168
Therefore, the value for common factors is 168.
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 = 155150489370240/(1x168)
LCM = 155150489370240/168
LCM = 923514817680
Thus, we can understand that the LCM of 805,944,357,676,846 is 923514817680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 805, 944, 357, 676, 846?
Answer: LCM of 805, 944, 357, 676, 846 is 923514817680.
2. How to calculate the LCM of 805, 944, 357, 676, 846?
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 805, 944, 357, 676, 846.
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}.