Find the LCM of 328, 798, 417, 567 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, 798, 417, 567. So, keep reading to learn more.
Given numbers are 328,798,417,567
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 328,798,417,567 is 491162616.
Find LCM of 328,798,417,567 with Prime Factorization
2 | 328, 798, 417, 567 |
3 | 164, 399, 417, 567 |
7 | 164, 133, 139, 189 |
164, 19, 139, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 164 x 19 x 139 x 27 = 491162616
Therefore, the lowest common multiple of 328,798,417,567 is 491162616.
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 798 x 417 x 567 = 61886489616
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
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
417 : 1, 3, 139, 417
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,798,417,567, is 1.
Now, the common factors can be found like this.
328:2x 2x 2x 41
798:2x 3x 7x 19
417:3x 139
567:3x 3x 3x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7 = 126
Therefore, the value for common factors is 126.
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 = 61886489616/(1x126)
LCM = 61886489616/126
LCM = 491162616
Thus, we can understand that the LCM of 328,798,417,567 is 491162616.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 328, 798, 417, 567?
Answer: LCM of 328, 798, 417, 567 is 491162616.
2. How to calculate the LCM of 328, 798, 417, 567?
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, 798, 417, 567.
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}.