LCM of 396, 698, 363, 506, 511
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 396, 698, 363, 506, 511 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 396, 698, 363, 506, 511. So, keep reading to learn more.
Given numbers are 396,698,363,506,511
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 396,698,363,506,511 is 17867427732.
Find LCM of 396,698,363,506,511 with Prime Factorization
| 2 | 396, 698, 363, 506, 511 |
| 3 | 198, 349, 363, 253, 511 |
| 11 | 66, 349, 121, 253, 511 |
| 6, 349, 11, 23, 511 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 6 x 349 x 11 x 23 x 511 = 17867427732
Therefore, the lowest common multiple of 396,698,363,506,511 is 17867427732.
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.
396 x 698 x 363 x 506 x 511 = 25943505066864
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.
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
698 : 1, 2, 349, 698
363 : 1, 3, 11, 33, 121, 363
506 : 1, 2, 11, 22, 23, 46, 253, 506
511 : 1, 7, 73, 511
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,698,363,506,511, is 1.
Now, the common factors can be found like this.
396:2x 2x 3x 3x 11
698:2x 349
363:3x 11x 11
506:2x 11x 23
511:7x 73
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 11x 11 = 1452
Therefore, the value for common factors is 1452.
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 = 25943505066864/(1x1452)
LCM = 25943505066864/1452
LCM = 17867427732
Thus, we can understand that the LCM of 396,698,363,506,511 is 17867427732.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 396, 698, 363, 506, 511
1. What is the LCM of 396, 698, 363, 506, 511?
Answer: LCM of 396, 698, 363, 506, 511 is 17867427732.
2. How to calculate the LCM of 396, 698, 363, 506, 511?
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 396, 698, 363, 506, 511.
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}.