LCM of 986, 492, 810, 293
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 986, 492, 810, 293 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, 492, 810, 293. So, keep reading to learn more.
Given numbers are 986,492,810,293
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 986,492,810,293 is 9594302580.
Find LCM of 986,492,810,293 with Prime Factorization
| 2 | 986, 492, 810, 293 |
| 3 | 493, 246, 405, 293 |
| 493, 82, 135, 293 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 493 x 82 x 135 x 293 = 9594302580
Therefore, the lowest common multiple of 986,492,810,293 is 9594302580.
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 492 x 810 x 293 = 115131630960
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
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
293 : 1, 293
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,492,810,293, is 1.
Now, the common factors can be found like this.
986:2x 17x 29
492:2x 2x 3x 41
810:2x 3x 3x 3x 3x 5
293:293
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 3 = 12
Therefore, the value for common factors is 12.
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 = 115131630960/(1x12)
LCM = 115131630960/12
LCM = 9594302580
Thus, we can understand that the LCM of 986,492,810,293 is 9594302580.
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, 492, 810, 293
1. What is the LCM of 986, 492, 810, 293?
Answer: LCM of 986, 492, 810, 293 is 9594302580.
2. How to calculate the LCM of 986, 492, 810, 293?
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, 492, 810, 293.
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}.