LCM of 362, 979, 543, 790, 986
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 362, 979, 543, 790, 986 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 362, 979, 543, 790, 986. So, keep reading to learn more.
Given numbers are 362,979,543,790,986
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 362,979,543,790,986 is 207041083590.
Find LCM of 362,979,543,790,986 with Prime Factorization
| 2 | 362, 979, 543, 790, 986 |
| 181 | 181, 979, 543, 395, 493 |
| 1, 979, 3, 395, 493 |
Multiply the prime numbers at the bottom and the left side.
2 x 181 x 1 x 979 x 3 x 395 x 493 = 207041083590
Therefore, the lowest common multiple of 362,979,543,790,986 is 207041083590.
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.
362 x 979 x 543 x 790 x 986 = 149897744519160
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.
362 : 1, 2, 181, 362
979 : 1, 11, 89, 979
543 : 1, 3, 181, 543
790 : 1, 2, 5, 10, 79, 158, 395, 790
986 : 1, 2, 17, 29, 34, 58, 493, 986
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,979,543,790,986, is 1.
Now, the common factors can be found like this.
362:2x 181
979:11x 89
543:3x 181
790:2x 5x 79
986:2x 17x 29
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 181 = 724
Therefore, the value for common factors is 724.
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 = 149897744519160/(1x724)
LCM = 149897744519160/724
LCM = 207041083590
Thus, we can understand that the LCM of 362,979,543,790,986 is 207041083590.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 362, 979, 543, 790, 986
1. What is the LCM of 362, 979, 543, 790, 986?
Answer: LCM of 362, 979, 543, 790, 986 is 207041083590.
2. How to calculate the LCM of 362, 979, 543, 790, 986?
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 362, 979, 543, 790, 986.
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}.