LCM of 424, 420, 864, 339
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 424, 420, 864, 339 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 424, 420, 864, 339. So, keep reading to learn more.
Given numbers are 424,420,864,339
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 424,420,864,339 is 181107360.
Find LCM of 424,420,864,339 with Prime Factorization
| 2 | 424, 420, 864, 339 |
| 2 | 212, 210, 432, 339 |
| 2 | 106, 105, 216, 339 |
| 3 | 53, 105, 108, 339 |
| 53, 35, 36, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 53 x 35 x 36 x 113 = 181107360
Therefore, the lowest common multiple of 424,420,864,339 is 181107360.
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.
424 x 420 x 864 x 339 = 52158919680
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.
424 : 1, 2, 4, 8, 53, 106, 212, 424
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
339 : 1, 3, 113, 339
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 424,420,864,339, is 1.
Now, the common factors can be found like this.
424:2x 2x 2x 53
420:2x 2x 3x 5x 7
864:2x 2x 2x 2x 2x 3x 3x 3
339:3x 113
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 2x 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 52158919680/(1x288)
LCM = 52158919680/288
LCM = 181107360
Thus, we can understand that the LCM of 424,420,864,339 is 181107360.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 424, 420, 864, 339
1. What is the LCM of 424, 420, 864, 339?
Answer: LCM of 424, 420, 864, 339 is 181107360.
2. How to calculate the LCM of 424, 420, 864, 339?
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 424, 420, 864, 339.
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}.