LCM of 591, 585, 801, 779, 840
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 591, 585, 801, 779, 840 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 591, 585, 801, 779, 840. So, keep reading to learn more.
Given numbers are 591,585,801,779,840
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 591,585,801,779,840 is 447442861320.
Find LCM of 591,585,801,779,840 with Prime Factorization
| 3 | 591, 585, 801, 779, 840 |
| 3 | 197, 195, 267, 779, 280 |
| 5 | 197, 65, 89, 779, 280 |
| 197, 13, 89, 779, 56 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 197 x 13 x 89 x 779 x 56 = 447442861320
Therefore, the lowest common multiple of 591,585,801,779,840 is 447442861320.
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.
591 x 585 x 801 x 779 x 840 = 181214358834600
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.
591 : 1, 3, 197, 591
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
801 : 1, 3, 9, 89, 267, 801
779 : 1, 19, 41, 779
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,585,801,779,840, is 1.
Now, the common factors can be found like this.
591:3x 197
585:3x 3x 5x 13
801:3x 3x 89
779:19x 41
840:2x 2x 2x 3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 5 = 405
Therefore, the value for common factors is 405.
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 = 181214358834600/(1x405)
LCM = 181214358834600/405
LCM = 447442861320
Thus, we can understand that the LCM of 591,585,801,779,840 is 447442861320.
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FAQs on LCM of 591, 585, 801, 779, 840
1. What is the LCM of 591, 585, 801, 779, 840?
Answer: LCM of 591, 585, 801, 779, 840 is 447442861320.
2. How to calculate the LCM of 591, 585, 801, 779, 840?
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 591, 585, 801, 779, 840.
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}.