LCM of 826, 923, 338, 430, 522
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 826, 923, 338, 430, 522 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 826, 923, 338, 430, 522. So, keep reading to learn more.
Given numbers are 826,923,338,430,522
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 826,923,338,430,522 is 556165529010.
Find LCM of 826,923,338,430,522 with Prime Factorization
| 2 | 826, 923, 338, 430, 522 |
| 13 | 413, 923, 169, 215, 261 |
| 413, 71, 13, 215, 261 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 413 x 71 x 13 x 215 x 261 = 556165529010
Therefore, the lowest common multiple of 826,923,338,430,522 is 556165529010.
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.
826 x 923 x 338 x 430 x 522 = 57841215017040
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.
826 : 1, 2, 7, 14, 59, 118, 413, 826
923 : 1, 13, 71, 923
338 : 1, 2, 13, 26, 169, 338
430 : 1, 2, 5, 10, 43, 86, 215, 430
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 826,923,338,430,522, is 1.
Now, the common factors can be found like this.
826:2x 7x 59
923:13x 71
338:2x 13x 13
430:2x 5x 43
522:2x 3x 3x 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 13 = 104
Therefore, the value for common factors is 104.
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 = 57841215017040/(1x104)
LCM = 57841215017040/104
LCM = 556165529010
Thus, we can understand that the LCM of 826,923,338,430,522 is 556165529010.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 826, 923, 338, 430, 522
1. What is the LCM of 826, 923, 338, 430, 522?
Answer: LCM of 826, 923, 338, 430, 522 is 556165529010.
2. How to calculate the LCM of 826, 923, 338, 430, 522?
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 826, 923, 338, 430, 522.
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}.