LCM of 986, 264, 510, 860
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 986, 264, 510, 860 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 986, 264, 510, 860. So, keep reading to learn more.
Given numbers are 986,264,510,860
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 986,264,510,860 is 27982680.
Find LCM of 986,264,510,860 with Prime Factorization
| 2 | 986, 264, 510, 860 |
| 2 | 493, 132, 255, 430 |
| 3 | 493, 66, 255, 215 |
| 5 | 493, 22, 85, 215 |
| 17 | 493, 22, 17, 43 |
| 29, 22, 1, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 17 x 29 x 22 x 1 x 43 = 27982680
Therefore, the lowest common multiple of 986,264,510,860 is 27982680.
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.
986 x 264 x 510 x 860 = 114169334400
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.
986 : 1, 2, 17, 29, 34, 58, 493, 986
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,264,510,860, is 2.
Now, the common factors can be found like this.
986:2x 17x 29
264:2x 2x 2x 3x 11
510:2x 3x 5x 17
860:2x 2x 5x 43
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 3x 5x 17 = 2040
Therefore, the value for common factors is 2040.
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 = 114169334400/(2x2040)
LCM = 114169334400/4080
LCM = 27982680
Thus, we can understand that the LCM of 986,264,510,860 is 27982680.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 986, 264, 510, 860
1. What is the LCM of 986, 264, 510, 860?
Answer: LCM of 986, 264, 510, 860 is 27982680.
2. How to calculate the LCM of 986, 264, 510, 860?
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 986, 264, 510, 860.
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}.