Find the LCM of 328, 941, 765, 864, 639 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, 941, 765, 864, 639. So, keep reading to learn more.
Given numbers are 328,941,765,864,639
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 328,941,765,864,639 is 201170593440.
Find LCM of 328,941,765,864,639 with Prime Factorization
2 | 328, 941, 765, 864, 639 |
2 | 164, 941, 765, 432, 639 |
2 | 82, 941, 765, 216, 639 |
3 | 41, 941, 765, 108, 639 |
3 | 41, 941, 255, 36, 213 |
41, 941, 85, 12, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 41 x 941 x 85 x 12 x 71 = 201170593440
Therefore, the lowest common multiple of 328,941,765,864,639 is 201170593440.
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 941 x 765 x 864 x 639 = 130358544549120
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
941 : 1, 941
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
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
639 : 1, 3, 9, 71, 213, 639
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,941,765,864,639, is 1.
Now, the common factors can be found like this.
328:2x 2x 2x 41
941:941
765:3x 3x 5x 17
864:2x 2x 2x 2x 2x 3x 3x 3
639:3x 3x 71
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 3x 3 = 648
Therefore, the value for common factors is 648.
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 = 130358544549120/(1x648)
LCM = 130358544549120/648
LCM = 201170593440
Thus, we can understand that the LCM of 328,941,765,864,639 is 201170593440.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 328, 941, 765, 864, 639?
Answer: LCM of 328, 941, 765, 864, 639 is 201170593440.
2. How to calculate the LCM of 328, 941, 765, 864, 639?
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, 941, 765, 864, 639.
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}.