LCM of 531, 338, 826, 820, 105
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 531, 338, 826, 820, 105 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 531, 338, 826, 820, 105. So, keep reading to learn more.
Given numbers are 531,338,826,820,105
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 531,338,826,820,105 is 515101860.
Find LCM of 531,338,826,820,105 with Prime Factorization
| 2 | 531, 338, 826, 820, 105 |
| 3 | 531, 169, 413, 410, 105 |
| 5 | 177, 169, 413, 410, 35 |
| 7 | 177, 169, 413, 82, 7 |
| 59 | 177, 169, 59, 82, 1 |
| 3, 169, 1, 82, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 59 x 3 x 169 x 1 x 82 x 1 = 515101860
Therefore, the lowest common multiple of 531,338,826,820,105 is 515101860.
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.
531 x 338 x 826 x 820 x 105 = 12764224090800
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.
531 : 1, 3, 9, 59, 177, 531
338 : 1, 2, 13, 26, 169, 338
826 : 1, 2, 7, 14, 59, 118, 413, 826
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
105 : 1, 3, 5, 7, 15, 21, 35, 105
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 531,338,826,820,105, is 1.
Now, the common factors can be found like this.
531:3x 3x 59
338:2x 13x 13
826:2x 7x 59
820:2x 2x 5x 41
105:3x 5x 7
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 5x 7x 59 = 24780
Therefore, the value for common factors is 24780.
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 = 12764224090800/(1x24780)
LCM = 12764224090800/24780
LCM = 515101860
Thus, we can understand that the LCM of 531,338,826,820,105 is 515101860.
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FAQs on LCM of 531, 338, 826, 820, 105
1. What is the LCM of 531, 338, 826, 820, 105?
Answer: LCM of 531, 338, 826, 820, 105 is 515101860.
2. How to calculate the LCM of 531, 338, 826, 820, 105?
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 531, 338, 826, 820, 105.
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}.