LCM of 799, 135, 580, 432, 621
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 799, 135, 580, 432, 621 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, 135, 580, 432, 621. So, keep reading to learn more.
Given numbers are 799,135,580,432,621
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 799,135,580,432,621 is 1151135280.
Find LCM of 799,135,580,432,621 with Prime Factorization
| 2 | 799, 135, 580, 432, 621 |
| 2 | 799, 135, 290, 216, 621 |
| 3 | 799, 135, 145, 108, 621 |
| 3 | 799, 45, 145, 36, 207 |
| 3 | 799, 15, 145, 12, 69 |
| 5 | 799, 5, 145, 4, 23 |
| 799, 1, 29, 4, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 5 x 799 x 1 x 29 x 4 x 23 = 1151135280
Therefore, the lowest common multiple of 799,135,580,432,621 is 1151135280.
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 135 x 580 x 432 x 621 = 16783552382400
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
135 : 1, 3, 5, 9, 15, 27, 45, 135
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
621 : 1, 3, 9, 23, 27, 69, 207, 621
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 799,135,580,432,621, is 1.
Now, the common factors can be found like this.
799:17x 47
135:3x 3x 3x 5
580:2x 2x 5x 29
432:2x 2x 2x 2x 3x 3x 3
621:3x 3x 3x 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 3x 3x 3x 3x 3x 5 = 14580
Therefore, the value for common factors is 14580.
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 = 16783552382400/(1x14580)
LCM = 16783552382400/14580
LCM = 1151135280
Thus, we can understand that the LCM of 799,135,580,432,621 is 1151135280.
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FAQs on LCM of 799, 135, 580, 432, 621
1. What is the LCM of 799, 135, 580, 432, 621?
Answer: LCM of 799, 135, 580, 432, 621 is 1151135280.
2. How to calculate the LCM of 799, 135, 580, 432, 621?
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, 135, 580, 432, 621.
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}.