LCM of 486, 924, 682, 305
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 486, 924, 682, 305 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 486, 924, 682, 305. So, keep reading to learn more.
Given numbers are 486,924,682,305
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 486,924,682,305 is 707650020.
Find LCM of 486,924,682,305 with Prime Factorization
| 2 | 486, 924, 682, 305 |
| 3 | 243, 462, 341, 305 |
| 11 | 81, 154, 341, 305 |
| 81, 14, 31, 305 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 81 x 14 x 31 x 305 = 707650020
Therefore, the lowest common multiple of 486,924,682,305 is 707650020.
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.
486 x 924 x 682 x 305 = 93409802640
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.
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
682 : 1, 2, 11, 22, 31, 62, 341, 682
305 : 1, 5, 61, 305
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,924,682,305, is 1.
Now, the common factors can be found like this.
486:2x 3x 3x 3x 3x 3
924:2x 2x 3x 7x 11
682:2x 11x 31
305:5x 61
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 3x 11 = 132
Therefore, the value for common factors is 132.
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 = 93409802640/(1x132)
LCM = 93409802640/132
LCM = 707650020
Thus, we can understand that the LCM of 486,924,682,305 is 707650020.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 486, 924, 682, 305
1. What is the LCM of 486, 924, 682, 305?
Answer: LCM of 486, 924, 682, 305 is 707650020.
2. How to calculate the LCM of 486, 924, 682, 305?
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 486, 924, 682, 305.
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}.