Find the LCM of 512, 589, 465, 276, 704 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, 589, 465, 276, 704. So, keep reading to learn more.
Given numbers are 512,589,465,276,704
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 512,589,465,276,704 is 1144450560.
Find LCM of 512,589,465,276,704 with Prime Factorization
2 | 512, 589, 465, 276, 704 |
2 | 256, 589, 465, 138, 352 |
2 | 128, 589, 465, 69, 176 |
2 | 64, 589, 465, 69, 88 |
2 | 32, 589, 465, 69, 44 |
2 | 16, 589, 465, 69, 22 |
3 | 8, 589, 465, 69, 11 |
31 | 8, 589, 155, 23, 11 |
8, 19, 5, 23, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 3 x 31 x 8 x 19 x 5 x 23 x 11 = 1144450560
Therefore, the lowest common multiple of 512,589,465,276,704 is 1144450560.
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 589 x 465 x 276 x 704 = 27247078932480
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
589 : 1, 19, 31, 589
465 : 1, 3, 5, 15, 31, 93, 155, 465
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 512,589,465,276,704, is 1.
Now, the common factors can be found like this.
512:2x 2x 2x 2x 2x 2x 2x 2x 2
589:19x 31
465:3x 5x 31
276:2x 2x 3x 23
704:2x 2x 2x 2x 2x 2x 11
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 2x 2x 3x 31 = 23808
Therefore, the value for common factors is 23808.
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 = 27247078932480/(1x23808)
LCM = 27247078932480/23808
LCM = 1144450560
Thus, we can understand that the LCM of 512,589,465,276,704 is 1144450560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 512, 589, 465, 276, 704?
Answer: LCM of 512, 589, 465, 276, 704 is 1144450560.
2. How to calculate the LCM of 512, 589, 465, 276, 704?
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, 589, 465, 276, 704.
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}.