Find the LCM of 804, 732, 633, 429, 259 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 804, 732, 633, 429, 259. So, keep reading to learn more.
Given numbers are 804,732,633,429,259
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 804,732,633,429,259 is 383269394508.
Find LCM of 804,732,633,429,259 with Prime Factorization
2 | 804, 732, 633, 429, 259 |
2 | 402, 366, 633, 429, 259 |
3 | 201, 183, 633, 429, 259 |
67, 61, 211, 143, 259 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 67 x 61 x 211 x 143 x 259 = 383269394508
Therefore, the lowest common multiple of 804,732,633,429,259 is 383269394508.
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.
804 x 732 x 633 x 429 x 259 = 41393094606864
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.
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
633 : 1, 3, 211, 633
429 : 1, 3, 11, 13, 33, 39, 143, 429
259 : 1, 7, 37, 259
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 804,732,633,429,259, is 1.
Now, the common factors can be found like this.
804:2x 2x 3x 67
732:2x 2x 3x 61
633:3x 211
429:3x 11x 13
259:7x 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 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 41393094606864/(1x108)
LCM = 41393094606864/108
LCM = 383269394508
Thus, we can understand that the LCM of 804,732,633,429,259 is 383269394508.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 804, 732, 633, 429, 259?
Answer: LCM of 804, 732, 633, 429, 259 is 383269394508.
2. How to calculate the LCM of 804, 732, 633, 429, 259?
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 804, 732, 633, 429, 259.
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}.