Find the LCM of 328, 412, 205, 760, 659 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 328, 412, 205, 760, 659. So, keep reading to learn more.
Given numbers are 328,412,205,760,659
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 328,412,205,760,659 is 2115047320.
Find LCM of 328,412,205,760,659 with Prime Factorization
2 | 328, 412, 205, 760, 659 |
2 | 164, 206, 205, 380, 659 |
2 | 82, 103, 205, 190, 659 |
5 | 41, 103, 205, 95, 659 |
41 | 41, 103, 41, 19, 659 |
1, 103, 1, 19, 659 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 41 x 1 x 103 x 1 x 19 x 659 = 2115047320
Therefore, the lowest common multiple of 328,412,205,760,659 is 2115047320.
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.
328 x 412 x 205 x 760 x 659 = 13874710419200
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.
328 : 1, 2, 4, 8, 41, 82, 164, 328
412 : 1, 2, 4, 103, 206, 412
205 : 1, 5, 41, 205
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
659 : 1, 659
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,412,205,760,659, is 1.
Now, the common factors can be found like this.
328:2x 2x 2x 41
412:2x 2x 103
205:5x 41
760:2x 2x 2x 5x 19
659:659
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 5x 41 = 6560
Therefore, the value for common factors is 6560.
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 = 13874710419200/(1x6560)
LCM = 13874710419200/6560
LCM = 2115047320
Thus, we can understand that the LCM of 328,412,205,760,659 is 2115047320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 328, 412, 205, 760, 659?
Answer: LCM of 328, 412, 205, 760, 659 is 2115047320.
2. How to calculate the LCM of 328, 412, 205, 760, 659?
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 328, 412, 205, 760, 659.
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}.