LCM of 580, 955, 758, 600, 775
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 580, 955, 758, 600, 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, 955, 758, 600, 775. So, keep reading to learn more.
Given numbers are 580,955,758,600,775
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 580,955,758,600,775 is 39046626600.
Find LCM of 580,955,758,600,775 with Prime Factorization
| 2 | 580, 955, 758, 600, 775 |
| 2 | 290, 955, 379, 300, 775 |
| 5 | 145, 955, 379, 150, 775 |
| 5 | 29, 191, 379, 30, 155 |
| 29, 191, 379, 6, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 5 x 29 x 191 x 379 x 6 x 31 = 39046626600
Therefore, the lowest common multiple of 580,955,758,600,775 is 39046626600.
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 955 x 758 x 600 x 775 = 195233133000000
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
955 : 1, 5, 191, 955
758 : 1, 2, 379, 758
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
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 580,955,758,600,775, is 1.
Now, the common factors can be found like this.
580:2x 2x 5x 29
955:5x 191
758:2x 379
600:2x 2x 2x 3x 5x 5
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.
2x 2x 2x 5x 5x 5x 5 = 5000
Therefore, the value for common factors is 5000.
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 = 195233133000000/(1x5000)
LCM = 195233133000000/5000
LCM = 39046626600
Thus, we can understand that the LCM of 580,955,758,600,775 is 39046626600.
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FAQs on LCM of 580, 955, 758, 600, 775
1. What is the LCM of 580, 955, 758, 600, 775?
Answer: LCM of 580, 955, 758, 600, 775 is 39046626600.
2. How to calculate the LCM of 580, 955, 758, 600, 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, 955, 758, 600, 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}.