LCM of 486, 764, 442, 872, 456
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 486, 764, 442, 872, 456 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, 764, 442, 872, 456. So, keep reading to learn more.
Given numbers are 486,764,442,872,456
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 486,764,442,872,456 is 169942499064.
Find LCM of 486,764,442,872,456 with Prime Factorization
| 2 | 486, 764, 442, 872, 456 |
| 2 | 243, 382, 221, 436, 228 |
| 2 | 243, 191, 221, 218, 114 |
| 3 | 243, 191, 221, 109, 57 |
| 81, 191, 221, 109, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 81 x 191 x 221 x 109 x 19 = 169942499064
Therefore, the lowest common multiple of 486,764,442,872,456 is 169942499064.
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 764 x 442 x 872 x 456 = 65257919640576
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
764 : 1, 2, 4, 191, 382, 764
442 : 1, 2, 13, 17, 26, 34, 221, 442
872 : 1, 2, 4, 8, 109, 218, 436, 872
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,764,442,872,456, is 2.
Now, the common factors can be found like this.
486:2x 3x 3x 3x 3x 3
764:2x 2x 191
442:2x 13x 17
872:2x 2x 2x 109
456:2x 2x 2x 3x 19
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 2x 2x 2x 3 = 192
Therefore, the value for common factors is 192.
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 = 65257919640576/(2x192)
LCM = 65257919640576/384
LCM = 169942499064
Thus, we can understand that the LCM of 486,764,442,872,456 is 169942499064.
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, 764, 442, 872, 456
1. What is the LCM of 486, 764, 442, 872, 456?
Answer: LCM of 486, 764, 442, 872, 456 is 169942499064.
2. How to calculate the LCM of 486, 764, 442, 872, 456?
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, 764, 442, 872, 456.
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}.