Find the LCM of 469, 866, 536, 864, 513 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 469, 866, 536, 864, 513. So, keep reading to learn more.
Given numbers are 469,866,536,864,513
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 469,866,536,864,513 is 3333712032.
Find LCM of 469,866,536,864,513 with Prime Factorization
2 | 469, 866, 536, 864, 513 |
2 | 469, 433, 268, 432, 513 |
2 | 469, 433, 134, 216, 513 |
3 | 469, 433, 67, 108, 513 |
3 | 469, 433, 67, 36, 171 |
3 | 469, 433, 67, 12, 57 |
67 | 469, 433, 67, 4, 19 |
7, 433, 1, 4, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 67 x 7 x 433 x 1 x 4 x 19 = 3333712032
Therefore, the lowest common multiple of 469,866,536,864,513 is 3333712032.
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.
469 x 866 x 536 x 864 x 513 = 96490961054208
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.
469 : 1, 7, 67, 469
866 : 1, 2, 433, 866
536 : 1, 2, 4, 8, 67, 134, 268, 536
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
513 : 1, 3, 9, 19, 27, 57, 171, 513
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,866,536,864,513, is 1.
Now, the common factors can be found like this.
469:7x 67
866:2x 433
536:2x 2x 2x 67
864:2x 2x 2x 2x 2x 3x 3x 3
513:3x 3x 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 3x 3x 3x 67 = 28944
Therefore, the value for common factors is 28944.
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 = 96490961054208/(1x28944)
LCM = 96490961054208/28944
LCM = 3333712032
Thus, we can understand that the LCM of 469,866,536,864,513 is 3333712032.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 469, 866, 536, 864, 513?
Answer: LCM of 469, 866, 536, 864, 513 is 3333712032.
2. How to calculate the LCM of 469, 866, 536, 864, 513?
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 469, 866, 536, 864, 513.
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}.