Find the LCM of 678, 840, 215, 339, 260 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 678, 840, 215, 339, 260. So, keep reading to learn more.
Given numbers are 678,840,215,339,260
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 678,840,215,339,260 is 53060280.
Find LCM of 678,840,215,339,260 with Prime Factorization
2 | 678, 840, 215, 339, 260 |
2 | 339, 420, 215, 339, 130 |
3 | 339, 210, 215, 339, 65 |
5 | 113, 70, 215, 113, 65 |
113 | 113, 14, 43, 113, 13 |
1, 14, 43, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 113 x 1 x 14 x 43 x 1 x 13 = 53060280
Therefore, the lowest common multiple of 678,840,215,339,260 is 53060280.
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.
678 x 840 x 215 x 339 x 260 = 10792460952000
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.
678 : 1, 2, 3, 6, 113, 226, 339, 678
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
215 : 1, 5, 43, 215
339 : 1, 3, 113, 339
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,840,215,339,260, is 1.
Now, the common factors can be found like this.
678:2x 3x 113
840:2x 2x 2x 3x 5x 7
215:5x 43
339:3x 113
260:2x 2x 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 3x 3x 5x 5x 113 = 203400
Therefore, the value for common factors is 203400.
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 = 10792460952000/(1x203400)
LCM = 10792460952000/203400
LCM = 53060280
Thus, we can understand that the LCM of 678,840,215,339,260 is 53060280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 678, 840, 215, 339, 260?
Answer: LCM of 678, 840, 215, 339, 260 is 53060280.
2. How to calculate the LCM of 678, 840, 215, 339, 260?
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 678, 840, 215, 339, 260.
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}.