LCM of 580, 851, 713, 775
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 580, 851, 713, 775 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 580, 851, 713, 775. So, keep reading to learn more.
Given numbers are 580,851,713,775
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 580,851,713,775 is 76504900.
Find LCM of 580,851,713,775 with Prime Factorization
| 5 | 580, 851, 713, 775 |
| 23 | 116, 851, 713, 155 |
| 31 | 116, 37, 31, 155 |
| 116, 37, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
5 x 23 x 31 x 116 x 37 x 1 x 5 = 76504900
Therefore, the lowest common multiple of 580,851,713,775 is 76504900.
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.
580 x 851 x 713 x 775 = 272739968500
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.
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
851 : 1, 23, 37, 851
713 : 1, 23, 31, 713
775 : 1, 5, 25, 31, 155, 775
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,851,713,775, is 1.
Now, the common factors can be found like this.
580:2x 2x 5x 29
851:23x 37
713:23x 31
775:5x 5x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 23x 31 = 3565
Therefore, the value for common factors is 3565.
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 = 272739968500/(1x3565)
LCM = 272739968500/3565
LCM = 76504900
Thus, we can understand that the LCM of 580,851,713,775 is 76504900.
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FAQs on LCM of 580, 851, 713, 775
1. What is the LCM of 580, 851, 713, 775?
Answer: LCM of 580, 851, 713, 775 is 76504900.
2. How to calculate the LCM of 580, 851, 713, 775?
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 580, 851, 713, 775.
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}.