Find the LCM of 454, 696, 814, 407 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 454, 696, 814, 407. So, keep reading to learn more.
Given numbers are 454,696,814,407
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 454,696,814,407 is 64302744.
Find LCM of 454,696,814,407 with Prime Factorization
2 | 454, 696, 814, 407 |
11 | 227, 348, 407, 407 |
37 | 227, 348, 37, 37 |
227, 348, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 37 x 227 x 348 x 1 x 1 = 64302744
Therefore, the lowest common multiple of 454,696,814,407 is 64302744.
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.
454 x 696 x 814 x 407 = 104684867232
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.
454 : 1, 2, 227, 454
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
814 : 1, 2, 11, 22, 37, 74, 407, 814
407 : 1, 11, 37, 407
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 454,696,814,407, is 1.
Now, the common factors can be found like this.
454:2x 227
696:2x 2x 2x 3x 29
814:2x 11x 37
407:11x 37
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 11x 37 = 1628
Therefore, the value for common factors is 1628.
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 = 104684867232/(1x1628)
LCM = 104684867232/1628
LCM = 64302744
Thus, we can understand that the LCM of 454,696,814,407 is 64302744.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 454, 696, 814, 407?
Answer: LCM of 454, 696, 814, 407 is 64302744.
2. How to calculate the LCM of 454, 696, 814, 407?
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 454, 696, 814, 407.
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}.