LCM of 339, 452, 698, 840, 390
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 339, 452, 698, 840, 390 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 339, 452, 698, 840, 390. So, keep reading to learn more.
Given numbers are 339,452,698,840,390
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 339,452,698,840,390 is 430652040.
Find LCM of 339,452,698,840,390 with Prime Factorization
| 2 | 339, 452, 698, 840, 390 |
| 2 | 339, 226, 349, 420, 195 |
| 3 | 339, 113, 349, 210, 195 |
| 5 | 113, 113, 349, 70, 65 |
| 113 | 113, 113, 349, 14, 13 |
| 1, 1, 349, 14, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 113 x 1 x 1 x 349 x 14 x 13 = 430652040
Therefore, the lowest common multiple of 339,452,698,840,390 is 430652040.
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.
339 x 452 x 698 x 840 x 390 = 35037849974400
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.
339 : 1, 3, 113, 339
452 : 1, 2, 4, 113, 226, 452
698 : 1, 2, 349, 698
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,452,698,840,390, is 1.
Now, the common factors can be found like this.
339:3x 113
452:2x 2x 113
698:2x 349
840:2x 2x 2x 3x 5x 7
390:2x 3x 5x 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 2x 3x 3x 5x 113 = 81360
Therefore, the value for common factors is 81360.
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 = 35037849974400/(1x81360)
LCM = 35037849974400/81360
LCM = 430652040
Thus, we can understand that the LCM of 339,452,698,840,390 is 430652040.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 339, 452, 698, 840, 390
1. What is the LCM of 339, 452, 698, 840, 390?
Answer: LCM of 339, 452, 698, 840, 390 is 430652040.
2. How to calculate the LCM of 339, 452, 698, 840, 390?
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 339, 452, 698, 840, 390.
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}.