Find the LCM of 512, 324, 214, 684, 765 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 512, 324, 214, 684, 765. So, keep reading to learn more.
Given numbers are 512,324,214,684,765
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 512,324,214,684,765 is 7166568960.
Find LCM of 512,324,214,684,765 with Prime Factorization
2 | 512, 324, 214, 684, 765 |
2 | 256, 162, 107, 342, 765 |
3 | 128, 81, 107, 171, 765 |
3 | 128, 27, 107, 57, 255 |
128, 9, 107, 19, 85 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 128 x 9 x 107 x 19 x 85 = 7166568960
Therefore, the lowest common multiple of 512,324,214,684,765 is 7166568960.
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.
512 x 324 x 214 x 684 x 765 = 18575746744320
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.
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
214 : 1, 2, 107, 214
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 512,324,214,684,765, is 1.
Now, the common factors can be found like this.
512:2x 2x 2x 2x 2x 2x 2x 2x 2
324:2x 2x 3x 3x 3x 3
214:2x 107
684:2x 2x 3x 3x 19
765:3x 3x 5x 17
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 3x 3x 3x 3 = 2592
Therefore, the value for common factors is 2592.
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 = 18575746744320/(1x2592)
LCM = 18575746744320/2592
LCM = 7166568960
Thus, we can understand that the LCM of 512,324,214,684,765 is 7166568960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 512, 324, 214, 684, 765?
Answer: LCM of 512, 324, 214, 684, 765 is 7166568960.
2. How to calculate the LCM of 512, 324, 214, 684, 765?
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 512, 324, 214, 684, 765.
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}.