LCM of 506, 828, 715, 850, 585
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 506, 828, 715, 850, 585 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 506, 828, 715, 850, 585. So, keep reading to learn more.
Given numbers are 506,828,715,850,585
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 506,828,715,850,585 is 50321700.
Find LCM of 506,828,715,850,585 with Prime Factorization
| 2 | 506, 828, 715, 850, 585 |
| 3 | 253, 414, 715, 425, 585 |
| 3 | 253, 138, 715, 425, 195 |
| 5 | 253, 46, 715, 425, 65 |
| 11 | 253, 46, 143, 85, 13 |
| 13 | 23, 46, 13, 85, 13 |
| 23 | 23, 46, 1, 85, 1 |
| 1, 2, 1, 85, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 11 x 13 x 23 x 1 x 2 x 1 x 85 x 1 = 50321700
Therefore, the lowest common multiple of 506,828,715,850,585 is 50321700.
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.
506 x 828 x 715 x 850 x 585 = 148957264170000
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.
506 : 1, 2, 11, 22, 23, 46, 253, 506
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
715 : 1, 5, 11, 13, 55, 65, 143, 715
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,828,715,850,585, is 1.
Now, the common factors can be found like this.
506:2x 11x 23
828:2x 2x 3x 3x 23
715:5x 11x 13
850:2x 5x 5x 17
585:3x 3x 5x 13
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 3x 3x 5x 5x 11x 13x 23 = 2960100
Therefore, the value for common factors is 2960100.
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 = 148957264170000/(1x2960100)
LCM = 148957264170000/2960100
LCM = 50321700
Thus, we can understand that the LCM of 506,828,715,850,585 is 50321700.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 506, 828, 715, 850, 585
1. What is the LCM of 506, 828, 715, 850, 585?
Answer: LCM of 506, 828, 715, 850, 585 is 50321700.
2. How to calculate the LCM of 506, 828, 715, 850, 585?
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 506, 828, 715, 850, 585.
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}.