LCM of 853, 826, 506, 531, 580
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 853, 826, 506, 531, 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 853, 826, 506, 531, 580. So, keep reading to learn more.
Given numbers are 853,826,506,531,580
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 853,826,506,531,580 is 465253990740.
Find LCM of 853,826,506,531,580 with Prime Factorization
| 2 | 853, 826, 506, 531, 580 |
| 59 | 853, 413, 253, 531, 290 |
| 853, 7, 253, 9, 290 |
Multiply the prime numbers at the bottom and the left side.
2 x 59 x 853 x 7 x 253 x 9 x 290 = 465253990740
Therefore, the lowest common multiple of 853,826,506,531,580 is 465253990740.
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.
853 x 826 x 506 x 531 x 580 = 109799941814640
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.
853 : 1, 853
826 : 1, 2, 7, 14, 59, 118, 413, 826
506 : 1, 2, 11, 22, 23, 46, 253, 506
531 : 1, 3, 9, 59, 177, 531
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 853,826,506,531,580, is 1.
Now, the common factors can be found like this.
853:853
826:2x 7x 59
506:2x 11x 23
531:3x 3x 59
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 59 = 236
Therefore, the value for common factors is 236.
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 = 109799941814640/(1x236)
LCM = 109799941814640/236
LCM = 465253990740
Thus, we can understand that the LCM of 853,826,506,531,580 is 465253990740.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 853, 826, 506, 531, 580
1. What is the LCM of 853, 826, 506, 531, 580?
Answer: LCM of 853, 826, 506, 531, 580 is 465253990740.
2. How to calculate the LCM of 853, 826, 506, 531, 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 853, 826, 506, 531, 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}.