LCM of 585, 397, 489, 377
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 585, 397, 489, 377 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 585, 397, 489, 377. So, keep reading to learn more.
Given numbers are 585,397,489,377
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 585,397,489,377 is 1097822115.
Find LCM of 585,397,489,377 with Prime Factorization
| 3 | 585, 397, 489, 377 |
| 13 | 195, 397, 163, 377 |
| 15, 397, 163, 29 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 15 x 397 x 163 x 29 = 1097822115
Therefore, the lowest common multiple of 585,397,489,377 is 1097822115.
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.
585 x 397 x 489 x 377 = 42815062485
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.
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
397 : 1, 397
489 : 1, 3, 163, 489
377 : 1, 13, 29, 377
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,397,489,377, is 1.
Now, the common factors can be found like this.
585:3x 3x 5x 13
397:397
489:3x 163
377:13x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13 = 39
Therefore, the value for common factors is 39.
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 = 42815062485/(1x39)
LCM = 42815062485/39
LCM = 1097822115
Thus, we can understand that the LCM of 585,397,489,377 is 1097822115.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 585, 397, 489, 377
1. What is the LCM of 585, 397, 489, 377?
Answer: LCM of 585, 397, 489, 377 is 1097822115.
2. How to calculate the LCM of 585, 397, 489, 377?
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 585, 397, 489, 377.
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}.