LCM of 578, 209, 408, 396
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 578, 209, 408, 396 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 578, 209, 408, 396. So, keep reading to learn more.
Given numbers are 578,209,408,396
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 578,209,408,396 is 4348872.
Find LCM of 578,209,408,396 with Prime Factorization
| 2 | 578, 209, 408, 396 |
| 2 | 289, 209, 204, 198 |
| 3 | 289, 209, 102, 99 |
| 11 | 289, 209, 34, 33 |
| 17 | 289, 19, 34, 3 |
| 17, 19, 2, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 17 x 17 x 19 x 2 x 3 = 4348872
Therefore, the lowest common multiple of 578,209,408,396 is 4348872.
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.
578 x 209 x 408 x 396 = 19517737536
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.
578 : 1, 2, 17, 34, 289, 578
209 : 1, 11, 19, 209
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,209,408,396, is 1.
Now, the common factors can be found like this.
578:2x 17x 17
209:11x 19
408:2x 2x 2x 3x 17
396:2x 2x 3x 3x 11
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 3x 11x 17 = 4488
Therefore, the value for common factors is 4488.
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 = 19517737536/(1x4488)
LCM = 19517737536/4488
LCM = 4348872
Thus, we can understand that the LCM of 578,209,408,396 is 4348872.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 578, 209, 408, 396
1. What is the LCM of 578, 209, 408, 396?
Answer: LCM of 578, 209, 408, 396 is 4348872.
2. How to calculate the LCM of 578, 209, 408, 396?
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 578, 209, 408, 396.
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}.