Find the LCM of 339, 579, 416, 466, 516 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, 579, 416, 466, 516. So, keep reading to learn more.
Given numbers are 339,579,416,466,516
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 339,579,416,466,516 is 272693455008.
Find LCM of 339,579,416,466,516 with Prime Factorization
2 | 339, 579, 416, 466, 516 |
2 | 339, 579, 208, 233, 258 |
3 | 339, 579, 104, 233, 129 |
113, 193, 104, 233, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 113 x 193 x 104 x 233 x 43 = 272693455008
Therefore, the lowest common multiple of 339,579,416,466,516 is 272693455008.
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 579 x 416 x 466 x 516 = 19633928760576
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
579 : 1, 3, 193, 579
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
466 : 1, 2, 233, 466
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,579,416,466,516, is 1.
Now, the common factors can be found like this.
339:3x 113
579:3x 193
416:2x 2x 2x 2x 2x 13
466:2x 233
516:2x 2x 3x 43
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 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 19633928760576/(1x72)
LCM = 19633928760576/72
LCM = 272693455008
Thus, we can understand that the LCM of 339,579,416,466,516 is 272693455008.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 339, 579, 416, 466, 516?
Answer: LCM of 339, 579, 416, 466, 516 is 272693455008.
2. How to calculate the LCM of 339, 579, 416, 466, 516?
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, 579, 416, 466, 516.
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}.