Find the LCM of 808, 731, 411, 840, 696 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 808, 731, 411, 840, 696. So, keep reading to learn more.
Given numbers are 808,731,411,840,696
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 808,731,411,840,696 is 246397672920.
Find LCM of 808,731,411,840,696 with Prime Factorization
2 | 808, 731, 411, 840, 696 |
2 | 404, 731, 411, 420, 348 |
2 | 202, 731, 411, 210, 174 |
3 | 101, 731, 411, 105, 87 |
101, 731, 137, 35, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 101 x 731 x 137 x 35 x 29 = 246397672920
Therefore, the lowest common multiple of 808,731,411,840,696 is 246397672920.
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.
808 x 731 x 411 x 840 x 696 = 141925059601920
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.
808 : 1, 2, 4, 8, 101, 202, 404, 808
731 : 1, 17, 43, 731
411 : 1, 3, 137, 411
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
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,731,411,840,696, is 1.
Now, the common factors can be found like this.
808:2x 2x 2x 101
731:17x 43
411:3x 137
840:2x 2x 2x 3x 5x 7
696:2x 2x 2x 3x 29
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 3x 3 = 576
Therefore, the value for common factors is 576.
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 = 141925059601920/(1x576)
LCM = 141925059601920/576
LCM = 246397672920
Thus, we can understand that the LCM of 808,731,411,840,696 is 246397672920.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 808, 731, 411, 840, 696?
Answer: LCM of 808, 731, 411, 840, 696 is 246397672920.
2. How to calculate the LCM of 808, 731, 411, 840, 696?
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 808, 731, 411, 840, 696.
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}.