LCM of 263, 500, 667, 828, 580
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 263, 500, 667, 828, 580 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 263, 500, 667, 828, 580. So, keep reading to learn more.
Given numbers are 263,500,667,828,580
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 263,500,667,828,580 is 789394500.
Find LCM of 263,500,667,828,580 with Prime Factorization
| 2 | 263, 500, 667, 828, 580 |
| 2 | 263, 250, 667, 414, 290 |
| 5 | 263, 125, 667, 207, 145 |
| 23 | 263, 25, 667, 207, 29 |
| 29 | 263, 25, 29, 9, 29 |
| 263, 25, 1, 9, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 23 x 29 x 263 x 25 x 1 x 9 x 1 = 789394500
Therefore, the lowest common multiple of 263,500,667,828,580 is 789394500.
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.
263 x 500 x 667 x 828 x 580 = 42122090520000
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.
263 : 1, 263
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
667 : 1, 23, 29, 667
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 263,500,667,828,580, is 1.
Now, the common factors can be found like this.
263:263
500:2x 2x 5x 5x 5
667:23x 29
828:2x 2x 3x 3x 23
580:2x 2x 5x 29
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 2x 5x 23x 29 = 53360
Therefore, the value for common factors is 53360.
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 = 42122090520000/(1x53360)
LCM = 42122090520000/53360
LCM = 789394500
Thus, we can understand that the LCM of 263,500,667,828,580 is 789394500.
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FAQs on LCM of 263, 500, 667, 828, 580
1. What is the LCM of 263, 500, 667, 828, 580?
Answer: LCM of 263, 500, 667, 828, 580 is 789394500.
2. How to calculate the LCM of 263, 500, 667, 828, 580?
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 263, 500, 667, 828, 580.
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}.