LCM of 413, 287, 328, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 413, 287, 328, 312 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 413, 287, 328, 312. So, keep reading to learn more.
Given numbers are 413,287,328,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 413,287,328,312 is 5283096.
Find LCM of 413,287,328,312 with Prime Factorization
| 2 | 413, 287, 328, 312 |
| 2 | 413, 287, 164, 156 |
| 2 | 413, 287, 82, 78 |
| 7 | 413, 287, 41, 39 |
| 41 | 59, 41, 41, 39 |
| 59, 1, 1, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 41 x 59 x 1 x 1 x 39 = 5283096
Therefore, the lowest common multiple of 413,287,328,312 is 5283096.
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.
413 x 287 x 328 x 312 = 12129988416
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.
413 : 1, 7, 59, 413
287 : 1, 7, 41, 287
328 : 1, 2, 4, 8, 41, 82, 164, 328
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 413,287,328,312, is 1.
Now, the common factors can be found like this.
413:7x 59
287:7x 41
328:2x 2x 2x 41
312:2x 2x 2x 3x 13
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 7x 41 = 2296
Therefore, the value for common factors is 2296.
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 = 12129988416/(1x2296)
LCM = 12129988416/2296
LCM = 5283096
Thus, we can understand that the LCM of 413,287,328,312 is 5283096.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 413, 287, 328, 312
1. What is the LCM of 413, 287, 328, 312?
Answer: LCM of 413, 287, 328, 312 is 5283096.
2. How to calculate the LCM of 413, 287, 328, 312?
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 413, 287, 328, 312.
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}.