Find the LCM of 816, 856, 940, 434, 402 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 816, 856, 940, 434, 402. So, keep reading to learn more.
Given numbers are 816,856,940,434,402
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 816,856,940,434,402 is 298315854480.
Find LCM of 816,856,940,434,402 with Prime Factorization
2 | 816, 856, 940, 434, 402 |
2 | 408, 428, 470, 217, 201 |
2 | 204, 214, 235, 217, 201 |
3 | 102, 107, 235, 217, 201 |
34, 107, 235, 217, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 34 x 107 x 235 x 217 x 67 = 298315854480
Therefore, the lowest common multiple of 816,856,940,434,402 is 298315854480.
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.
816 x 856 x 940 x 434 x 402 = 114553288120320
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.
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
856 : 1, 2, 4, 8, 107, 214, 428, 856
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
434 : 1, 2, 7, 14, 31, 62, 217, 434
402 : 1, 2, 3, 6, 67, 134, 201, 402
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,856,940,434,402, is 2.
Now, the common factors can be found like this.
816:2x 2x 2x 2x 3x 17
856:2x 2x 2x 107
940:2x 2x 5x 47
434:2x 7x 31
402:2x 3x 67
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 3 = 192
Therefore, the value for common factors is 192.
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 = 114553288120320/(2x192)
LCM = 114553288120320/384
LCM = 298315854480
Thus, we can understand that the LCM of 816,856,940,434,402 is 298315854480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 816, 856, 940, 434, 402?
Answer: LCM of 816, 856, 940, 434, 402 is 298315854480.
2. How to calculate the LCM of 816, 856, 940, 434, 402?
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 816, 856, 940, 434, 402.
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}.