Find the LCM of 512, 689, 265, 812, 899 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, 689, 265, 812, 899. So, keep reading to learn more.
Given numbers are 512,689,265,812,899
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 512,689,265,812,899 is 11099845120.
Find LCM of 512,689,265,812,899 with Prime Factorization
2 | 512, 689, 265, 812, 899 |
2 | 256, 689, 265, 406, 899 |
29 | 128, 689, 265, 203, 899 |
53 | 128, 689, 265, 7, 31 |
128, 13, 5, 7, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 29 x 53 x 128 x 13 x 5 x 7 x 31 = 11099845120
Therefore, the lowest common multiple of 512,689,265,812,899 is 11099845120.
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 689 x 265 x 812 x 899 = 68241847797760
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
689 : 1, 13, 53, 689
265 : 1, 5, 53, 265
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
899 : 1, 29, 31, 899
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 512,689,265,812,899, is 1.
Now, the common factors can be found like this.
512:2x 2x 2x 2x 2x 2x 2x 2x 2
689:13x 53
265:5x 53
812:2x 2x 7x 29
899:29x 31
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 29x 53 = 6148
Therefore, the value for common factors is 6148.
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 = 68241847797760/(1x6148)
LCM = 68241847797760/6148
LCM = 11099845120
Thus, we can understand that the LCM of 512,689,265,812,899 is 11099845120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 512, 689, 265, 812, 899?
Answer: LCM of 512, 689, 265, 812, 899 is 11099845120.
2. How to calculate the LCM of 512, 689, 265, 812, 899?
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, 689, 265, 812, 899.
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}.