LCM of 799, 345, 698, 438, 920
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 799, 345, 698, 438, 920 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 799, 345, 698, 438, 920. So, keep reading to learn more.
Given numbers are 799,345,698,438,920
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 799,345,698,438,920 is 56182899480.
Find LCM of 799,345,698,438,920 with Prime Factorization
| 2 | 799, 345, 698, 438, 920 |
| 3 | 799, 345, 349, 219, 460 |
| 5 | 799, 115, 349, 73, 460 |
| 23 | 799, 23, 349, 73, 92 |
| 799, 1, 349, 73, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 799 x 1 x 349 x 73 x 4 = 56182899480
Therefore, the lowest common multiple of 799,345,698,438,920 is 56182899480.
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.
799 x 345 x 698 x 438 x 920 = 77532401282400
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.
799 : 1, 17, 47, 799
345 : 1, 3, 5, 15, 23, 69, 115, 345
698 : 1, 2, 349, 698
438 : 1, 2, 3, 6, 73, 146, 219, 438
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 799,345,698,438,920, is 1.
Now, the common factors can be found like this.
799:17x 47
345:3x 5x 23
698:2x 349
438:2x 3x 73
920:2x 2x 2x 5x 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 3x 5x 23 = 1380
Therefore, the value for common factors is 1380.
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 = 77532401282400/(1x1380)
LCM = 77532401282400/1380
LCM = 56182899480
Thus, we can understand that the LCM of 799,345,698,438,920 is 56182899480.
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FAQs on LCM of 799, 345, 698, 438, 920
1. What is the LCM of 799, 345, 698, 438, 920?
Answer: LCM of 799, 345, 698, 438, 920 is 56182899480.
2. How to calculate the LCM of 799, 345, 698, 438, 920?
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 799, 345, 698, 438, 920.
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}.