Find the LCM of 862, 702, 512, 118, 793 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 862, 702, 512, 118, 793. So, keep reading to learn more.
Given numbers are 862,702,512,118,793
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 862,702,512,118,793 is 278763683328.
Find LCM of 862,702,512,118,793 with Prime Factorization
2 | 862, 702, 512, 118, 793 |
13 | 431, 351, 256, 59, 793 |
431, 27, 256, 59, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 431 x 27 x 256 x 59 x 61 = 278763683328
Therefore, the lowest common multiple of 862,702,512,118,793 is 278763683328.
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.
862 x 702 x 512 x 118 x 793 = 28991423066112
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.
862 : 1, 2, 431, 862
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
118 : 1, 2, 59, 118
793 : 1, 13, 61, 793
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 862,702,512,118,793, is 1.
Now, the common factors can be found like this.
862:2x 431
702:2x 3x 3x 3x 13
512:2x 2x 2x 2x 2x 2x 2x 2x 2
118:2x 59
793:13x 61
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 13 = 104
Therefore, the value for common factors is 104.
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 = 28991423066112/(1x104)
LCM = 28991423066112/104
LCM = 278763683328
Thus, we can understand that the LCM of 862,702,512,118,793 is 278763683328.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 862, 702, 512, 118, 793?
Answer: LCM of 862, 702, 512, 118, 793 is 278763683328.
2. How to calculate the LCM of 862, 702, 512, 118, 793?
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 862, 702, 512, 118, 793.
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}.