LCM of 310, 289, 230, 802, 986
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 310, 289, 230, 802, 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 310, 289, 230, 802, 986. So, keep reading to learn more.
Given numbers are 310,289,230,802,986
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 310,289,230,802,986 is 23962368530.
Find LCM of 310,289,230,802,986 with Prime Factorization
| 2 | 310, 289, 230, 802, 986 |
| 5 | 155, 289, 115, 401, 493 |
| 17 | 31, 289, 23, 401, 493 |
| 31, 17, 23, 401, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 31 x 17 x 23 x 401 x 29 = 23962368530
Therefore, the lowest common multiple of 310,289,230,802,986 is 23962368530.
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.
310 x 289 x 230 x 802 x 986 = 16294410600400
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.
310 : 1, 2, 5, 10, 31, 62, 155, 310
289 : 1, 17, 289
230 : 1, 2, 5, 10, 23, 46, 115, 230
802 : 1, 2, 401, 802
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 310,289,230,802,986, is 1.
Now, the common factors can be found like this.
310:2x 5x 31
289:17x 17
230:2x 5x 23
802:2x 401
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 2x 5x 17 = 680
Therefore, the value for common factors is 680.
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 = 16294410600400/(1x680)
LCM = 16294410600400/680
LCM = 23962368530
Thus, we can understand that the LCM of 310,289,230,802,986 is 23962368530.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 310, 289, 230, 802, 986
1. What is the LCM of 310, 289, 230, 802, 986?
Answer: LCM of 310, 289, 230, 802, 986 is 23962368530.
2. How to calculate the LCM of 310, 289, 230, 802, 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 310, 289, 230, 802, 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}.