LCM of 585, 115, 329, 821, 900
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 585, 115, 329, 821, 900 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 585, 115, 329, 821, 900. So, keep reading to learn more.
Given numbers are 585,115,329,821,900
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 585,115,329,821,900 is 72686331900.
Find LCM of 585,115,329,821,900 with Prime Factorization
| 3 | 585, 115, 329, 821, 900 |
| 3 | 195, 115, 329, 821, 300 |
| 5 | 65, 115, 329, 821, 100 |
| 13, 23, 329, 821, 20 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 13 x 23 x 329 x 821 x 20 = 72686331900
Therefore, the lowest common multiple of 585,115,329,821,900 is 72686331900.
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.
585 x 115 x 329 x 821 x 900 = 16354424677500
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.
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
115 : 1, 5, 23, 115
329 : 1, 7, 47, 329
821 : 1, 821
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,115,329,821,900, is 1.
Now, the common factors can be found like this.
585:3x 3x 5x 13
115:5x 23
329:7x 47
821:821
900:2x 2x 3x 3x 5x 5
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 5x 5 = 225
Therefore, the value for common factors is 225.
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 = 16354424677500/(1x225)
LCM = 16354424677500/225
LCM = 72686331900
Thus, we can understand that the LCM of 585,115,329,821,900 is 72686331900.
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FAQs on LCM of 585, 115, 329, 821, 900
1. What is the LCM of 585, 115, 329, 821, 900?
Answer: LCM of 585, 115, 329, 821, 900 is 72686331900.
2. How to calculate the LCM of 585, 115, 329, 821, 900?
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 585, 115, 329, 821, 900.
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}.