Find the LCM of 328, 488, 829, 771, 727 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, 488, 829, 771, 727. So, keep reading to learn more.
Given numbers are 328,488,829,771,727
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 328,488,829,771,727 is 9297089208744.
Find LCM of 328,488,829,771,727 with Prime Factorization
2 | 328, 488, 829, 771, 727 |
2 | 164, 244, 829, 771, 727 |
2 | 82, 122, 829, 771, 727 |
41, 61, 829, 771, 727 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 41 x 61 x 829 x 771 x 727 = 9297089208744
Therefore, the lowest common multiple of 328,488,829,771,727 is 9297089208744.
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 488 x 829 x 771 x 727 = 74376713669952
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
488 : 1, 2, 4, 8, 61, 122, 244, 488
829 : 1, 829
771 : 1, 3, 257, 771
727 : 1, 727
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,488,829,771,727, is 1.
Now, the common factors can be found like this.
328:2x 2x 2x 41
488:2x 2x 2x 61
829:829
771:3x 257
727:727
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 2 = 8
Therefore, the value for common factors is 8.
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 = 74376713669952/(1x8)
LCM = 74376713669952/8
LCM = 9297089208744
Thus, we can understand that the LCM of 328,488,829,771,727 is 9297089208744.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 328, 488, 829, 771, 727?
Answer: LCM of 328, 488, 829, 771, 727 is 9297089208744.
2. How to calculate the LCM of 328, 488, 829, 771, 727?
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, 488, 829, 771, 727.
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}.