LCM of 788, 574, 205, 328
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 788, 574, 205, 328 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 788, 574, 205, 328. So, keep reading to learn more.
Given numbers are 788,574,205,328
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 788,574,205,328 is 2261560.
Find LCM of 788,574,205,328 with Prime Factorization
| 2 | 788, 574, 205, 328 |
| 2 | 394, 287, 205, 164 |
| 41 | 197, 287, 205, 82 |
| 197, 7, 5, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 41 x 197 x 7 x 5 x 2 = 2261560
Therefore, the lowest common multiple of 788,574,205,328 is 2261560.
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.
788 x 574 x 205 x 328 = 30413458880
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.
788 : 1, 2, 4, 197, 394, 788
574 : 1, 2, 7, 14, 41, 82, 287, 574
205 : 1, 5, 41, 205
328 : 1, 2, 4, 8, 41, 82, 164, 328
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 788,574,205,328, is 1.
Now, the common factors can be found like this.
788:2x 2x 197
574:2x 7x 41
205:5x 41
328:2x 2x 2x 41
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 41x 41 = 13448
Therefore, the value for common factors is 13448.
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 = 30413458880/(1x13448)
LCM = 30413458880/13448
LCM = 2261560
Thus, we can understand that the LCM of 788,574,205,328 is 2261560.
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FAQs on LCM of 788, 574, 205, 328
1. What is the LCM of 788, 574, 205, 328?
Answer: LCM of 788, 574, 205, 328 is 2261560.
2. How to calculate the LCM of 788, 574, 205, 328?
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 788, 574, 205, 328.
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}.