LCM of 818, 621, 690, 990, 581
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 818, 621, 690, 990, 581 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 818, 621, 690, 990, 581. So, keep reading to learn more.
Given numbers are 818,621,690,990,581
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 818,621,690,990,581 is 16232436990.
Find LCM of 818,621,690,990,581 with Prime Factorization
| 2 | 818, 621, 690, 990, 581 |
| 3 | 409, 621, 345, 495, 581 |
| 3 | 409, 207, 115, 165, 581 |
| 5 | 409, 69, 115, 55, 581 |
| 23 | 409, 69, 23, 11, 581 |
| 409, 3, 1, 11, 581 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 23 x 409 x 3 x 1 x 11 x 581 = 16232436990
Therefore, the lowest common multiple of 818,621,690,990,581 is 16232436990.
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.
818 x 621 x 690 x 990 x 581 = 201606867415800
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.
818 : 1, 2, 409, 818
621 : 1, 3, 9, 23, 27, 69, 207, 621
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
581 : 1, 7, 83, 581
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 818,621,690,990,581, is 1.
Now, the common factors can be found like this.
818:2x 409
621:3x 3x 3x 23
690:2x 3x 5x 23
990:2x 3x 3x 5x 11
581:7x 83
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 5x 23 = 12420
Therefore, the value for common factors is 12420.
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 = 201606867415800/(1x12420)
LCM = 201606867415800/12420
LCM = 16232436990
Thus, we can understand that the LCM of 818,621,690,990,581 is 16232436990.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 818, 621, 690, 990, 581
1. What is the LCM of 818, 621, 690, 990, 581?
Answer: LCM of 818, 621, 690, 990, 581 is 16232436990.
2. How to calculate the LCM of 818, 621, 690, 990, 581?
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 818, 621, 690, 990, 581.
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}.