LCM of 397, 432, 579, 520, 328
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 397, 432, 579, 520, 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 397, 432, 579, 520, 328. So, keep reading to learn more.
Given numbers are 397,432,579,520,328
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 397,432,579,520,328 is 88212224880.
Find LCM of 397,432,579,520,328 with Prime Factorization
| 2 | 397, 432, 579, 520, 328 |
| 2 | 397, 216, 579, 260, 164 |
| 2 | 397, 108, 579, 130, 82 |
| 3 | 397, 54, 579, 65, 41 |
| 397, 18, 193, 65, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 397 x 18 x 193 x 65 x 41 = 88212224880
Therefore, the lowest common multiple of 397,432,579,520,328 is 88212224880.
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.
397 x 432 x 579 x 520 x 328 = 16936747176960
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.
397 : 1, 397
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
579 : 1, 3, 193, 579
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
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 397,432,579,520,328, is 1.
Now, the common factors can be found like this.
397:397
432:2x 2x 2x 2x 3x 3x 3
579:3x 193
520:2x 2x 2x 5x 13
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 2x 2x 2x 3 = 192
Therefore, the value for common factors is 192.
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 = 16936747176960/(1x192)
LCM = 16936747176960/192
LCM = 88212224880
Thus, we can understand that the LCM of 397,432,579,520,328 is 88212224880.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 397, 432, 579, 520, 328
1. What is the LCM of 397, 432, 579, 520, 328?
Answer: LCM of 397, 432, 579, 520, 328 is 88212224880.
2. How to calculate the LCM of 397, 432, 579, 520, 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 397, 432, 579, 520, 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}.