Find the LCM of 846, 864, 800, 914, 612 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 846, 864, 800, 914, 612. So, keep reading to learn more.
Given numbers are 846,864,800,914,612
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 846,864,800,914,612 is 7887088800.
Find LCM of 846,864,800,914,612 with Prime Factorization
2 | 846, 864, 800, 914, 612 |
2 | 423, 432, 400, 457, 306 |
2 | 423, 216, 200, 457, 153 |
2 | 423, 108, 100, 457, 153 |
2 | 423, 54, 50, 457, 153 |
3 | 423, 27, 25, 457, 153 |
3 | 141, 9, 25, 457, 51 |
47, 3, 25, 457, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 3 x 47 x 3 x 25 x 457 x 17 = 7887088800
Therefore, the lowest common multiple of 846,864,800,914,612 is 7887088800.
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.
846 x 864 x 800 x 914 x 612 = 327093346713600
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.
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
914 : 1, 2, 457, 914
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 846,864,800,914,612, is 2.
Now, the common factors can be found like this.
846:2x 3x 3x 47
864:2x 2x 2x 2x 2x 3x 3x 3
800:2x 2x 2x 2x 2x 5x 5
914:2x 457
612:2x 2x 3x 3x 17
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 2x 2x 2x 2x 3x 3x 3x 3 = 20736
Therefore, the value for common factors is 20736.
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 = 327093346713600/(2x20736)
LCM = 327093346713600/41472
LCM = 7887088800
Thus, we can understand that the LCM of 846,864,800,914,612 is 7887088800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 846, 864, 800, 914, 612?
Answer: LCM of 846, 864, 800, 914, 612 is 7887088800.
2. How to calculate the LCM of 846, 864, 800, 914, 612?
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 846, 864, 800, 914, 612.
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}.