LCM of 820, 218, 575, 591
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 820, 218, 575, 591 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 820, 218, 575, 591. So, keep reading to learn more.
Given numbers are 820,218,575,591
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 820,218,575,591 is 6074711700.
Find LCM of 820,218,575,591 with Prime Factorization
| 2 | 820, 218, 575, 591 |
| 5 | 410, 109, 575, 591 |
| 82, 109, 115, 591 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 82 x 109 x 115 x 591 = 6074711700
Therefore, the lowest common multiple of 820,218,575,591 is 6074711700.
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.
820 x 218 x 575 x 591 = 60747117000
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.
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
218 : 1, 2, 109, 218
575 : 1, 5, 23, 25, 115, 575
591 : 1, 3, 197, 591
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,218,575,591, is 1.
Now, the common factors can be found like this.
820:2x 2x 5x 41
218:2x 109
575:5x 5x 23
591:3x 197
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 60747117000/(1x10)
LCM = 60747117000/10
LCM = 6074711700
Thus, we can understand that the LCM of 820,218,575,591 is 6074711700.
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FAQs on LCM of 820, 218, 575, 591
1. What is the LCM of 820, 218, 575, 591?
Answer: LCM of 820, 218, 575, 591 is 6074711700.
2. How to calculate the LCM of 820, 218, 575, 591?
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 820, 218, 575, 591.
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}.