LCM of 658, 394, 568, 338, 819
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 658, 394, 568, 338, 819 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 658, 394, 568, 338, 819. So, keep reading to learn more.
Given numbers are 658,394,568,338,819
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 658,394,568,338,819 is 55993765464.
Find LCM of 658,394,568,338,819 with Prime Factorization
| 2 | 658, 394, 568, 338, 819 |
| 7 | 329, 197, 284, 169, 819 |
| 13 | 47, 197, 284, 169, 117 |
| 47, 197, 284, 13, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 13 x 47 x 197 x 284 x 13 x 9 = 55993765464
Therefore, the lowest common multiple of 658,394,568,338,819 is 55993765464.
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.
658 x 394 x 568 x 338 x 819 = 40763461257792
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.
658 : 1, 2, 7, 14, 47, 94, 329, 658
394 : 1, 2, 197, 394
568 : 1, 2, 4, 8, 71, 142, 284, 568
338 : 1, 2, 13, 26, 169, 338
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 658,394,568,338,819, is 1.
Now, the common factors can be found like this.
658:2x 7x 47
394:2x 197
568:2x 2x 2x 71
338:2x 13x 13
819:3x 3x 7x 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 2x 7x 13 = 728
Therefore, the value for common factors is 728.
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 = 40763461257792/(1x728)
LCM = 40763461257792/728
LCM = 55993765464
Thus, we can understand that the LCM of 658,394,568,338,819 is 55993765464.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 658, 394, 568, 338, 819
1. What is the LCM of 658, 394, 568, 338, 819?
Answer: LCM of 658, 394, 568, 338, 819 is 55993765464.
2. How to calculate the LCM of 658, 394, 568, 338, 819?
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 658, 394, 568, 338, 819.
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}.