LCM of 804, 819, 392, 481, 368
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 804, 819, 392, 481, 368 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, 819, 392, 481, 368. So, keep reading to learn more.
Given numbers are 804,819,392,481,368
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 804,819,392,481,368 is 5230055376.
Find LCM of 804,819,392,481,368 with Prime Factorization
| 2 | 804, 819, 392, 481, 368 |
| 2 | 402, 819, 196, 481, 184 |
| 2 | 201, 819, 98, 481, 92 |
| 3 | 201, 819, 49, 481, 46 |
| 7 | 67, 273, 49, 481, 46 |
| 13 | 67, 39, 7, 481, 46 |
| 67, 3, 7, 37, 46 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 13 x 67 x 3 x 7 x 37 x 46 = 5230055376
Therefore, the lowest common multiple of 804,819,392,481,368 is 5230055376.
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 819 x 392 x 481 x 368 = 45689763764736
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
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
481 : 1, 13, 37, 481
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 804,819,392,481,368, is 1.
Now, the common factors can be found like this.
804:2x 2x 3x 67
819:3x 3x 7x 13
392:2x 2x 2x 7x 7
481:13x 37
368:2x 2x 2x 2x 23
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 3x 7x 13 = 8736
Therefore, the value for common factors is 8736.
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 = 45689763764736/(1x8736)
LCM = 45689763764736/8736
LCM = 5230055376
Thus, we can understand that the LCM of 804,819,392,481,368 is 5230055376.
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FAQs on LCM of 804, 819, 392, 481, 368
1. What is the LCM of 804, 819, 392, 481, 368?
Answer: LCM of 804, 819, 392, 481, 368 is 5230055376.
2. How to calculate the LCM of 804, 819, 392, 481, 368?
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, 819, 392, 481, 368.
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}.