LCM of 983, 382, 585, 955, 718
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 983, 382, 585, 955, 718 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 983, 382, 585, 955, 718. So, keep reading to learn more.
Given numbers are 983,382,585,955,718
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 983,382,585,955,718 is 78861892590.
Find LCM of 983,382,585,955,718 with Prime Factorization
| 2 | 983, 382, 585, 955, 718 |
| 5 | 983, 191, 585, 955, 359 |
| 191 | 983, 191, 117, 191, 359 |
| 983, 1, 117, 1, 359 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 191 x 983 x 1 x 117 x 1 x 359 = 78861892590
Therefore, the lowest common multiple of 983,382,585,955,718 is 78861892590.
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.
983 x 382 x 585 x 955 x 718 = 150626214846900
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.
983 : 1, 983
382 : 1, 2, 191, 382
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
955 : 1, 5, 191, 955
718 : 1, 2, 359, 718
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 983,382,585,955,718, is 1.
Now, the common factors can be found like this.
983:983
382:2x 191
585:3x 3x 5x 13
955:5x 191
718:2x 359
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 191 = 1910
Therefore, the value for common factors is 1910.
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 = 150626214846900/(1x1910)
LCM = 150626214846900/1910
LCM = 78861892590
Thus, we can understand that the LCM of 983,382,585,955,718 is 78861892590.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 983, 382, 585, 955, 718
1. What is the LCM of 983, 382, 585, 955, 718?
Answer: LCM of 983, 382, 585, 955, 718 is 78861892590.
2. How to calculate the LCM of 983, 382, 585, 955, 718?
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 983, 382, 585, 955, 718.
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}.