Find the LCM of 328, 822, 286, 133, 589 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, 822, 286, 133, 589. So, keep reading to learn more.
Given numbers are 328,822,286,133,589
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 328,822,286,133,589 is 79481313912.
Find LCM of 328,822,286,133,589 with Prime Factorization
2 | 328, 822, 286, 133, 589 |
19 | 164, 411, 143, 133, 589 |
164, 411, 143, 7, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 164 x 411 x 143 x 7 x 31 = 79481313912
Therefore, the lowest common multiple of 328,822,286,133,589 is 79481313912.
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 822 x 286 x 133 x 589 = 6040579857312
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
822 : 1, 2, 3, 6, 137, 274, 411, 822
286 : 1, 2, 11, 13, 22, 26, 143, 286
133 : 1, 7, 19, 133
589 : 1, 19, 31, 589
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,822,286,133,589, is 1.
Now, the common factors can be found like this.
328:2x 2x 2x 41
822:2x 3x 137
286:2x 11x 13
133:7x 19
589:19x 31
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 19 = 76
Therefore, the value for common factors is 76.
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 = 6040579857312/(1x76)
LCM = 6040579857312/76
LCM = 79481313912
Thus, we can understand that the LCM of 328,822,286,133,589 is 79481313912.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 328, 822, 286, 133, 589?
Answer: LCM of 328, 822, 286, 133, 589 is 79481313912.
2. How to calculate the LCM of 328, 822, 286, 133, 589?
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, 822, 286, 133, 589.
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}.