Find the LCM of 328, 104, 662, 798, 262 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, 104, 662, 798, 262. So, keep reading to learn more.
Given numbers are 328,104,662,798,262
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 328,104,662,798,262 is 73771630296.
Find LCM of 328,104,662,798,262 with Prime Factorization
2 | 328, 104, 662, 798, 262 |
2 | 164, 52, 331, 399, 131 |
2 | 82, 26, 331, 399, 131 |
41, 13, 331, 399, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 41 x 13 x 331 x 399 x 131 = 73771630296
Therefore, the lowest common multiple of 328,104,662,798,262 is 73771630296.
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 104 x 662 x 798 x 262 = 4721384338944
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
104 : 1, 2, 4, 8, 13, 26, 52, 104
662 : 1, 2, 331, 662
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
262 : 1, 2, 131, 262
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,104,662,798,262, is 2.
Now, the common factors can be found like this.
328:2x 2x 2x 41
104:2x 2x 2x 13
662:2x 331
798:2x 3x 7x 19
262:2x 131
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 2 = 32
Therefore, the value for common factors is 32.
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 = 4721384338944/(2x32)
LCM = 4721384338944/64
LCM = 73771630296
Thus, we can understand that the LCM of 328,104,662,798,262 is 73771630296.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 328, 104, 662, 798, 262?
Answer: LCM of 328, 104, 662, 798, 262 is 73771630296.
2. How to calculate the LCM of 328, 104, 662, 798, 262?
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, 104, 662, 798, 262.
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}.