Find the LCM of 688, 793, 209, 851, 451 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 688, 793, 209, 851, 451. So, keep reading to learn more.
Given numbers are 688,793,209,851,451
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 688,793,209,851,451 is 3978518010896.
Find LCM of 688,793,209,851,451 with Prime Factorization
11 | 688, 793, 209, 851, 451 |
688, 793, 19, 851, 41 |
Multiply the prime numbers at the bottom and the left side.
11 x 688 x 793 x 19 x 851 x 41 = 3978518010896
Therefore, the lowest common multiple of 688,793,209,851,451 is 3978518010896.
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.
688 x 793 x 209 x 851 x 451 = 43763698119856
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.
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
793 : 1, 13, 61, 793
209 : 1, 11, 19, 209
851 : 1, 23, 37, 851
451 : 1, 11, 41, 451
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,793,209,851,451, is 1.
Now, the common factors can be found like this.
688:2x 2x 2x 2x 43
793:13x 61
209:11x 19
851:23x 37
451:11x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 43763698119856/(1x11)
LCM = 43763698119856/11
LCM = 3978518010896
Thus, we can understand that the LCM of 688,793,209,851,451 is 3978518010896.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 688, 793, 209, 851, 451?
Answer: LCM of 688, 793, 209, 851, 451 is 3978518010896.
2. How to calculate the LCM of 688, 793, 209, 851, 451?
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 688, 793, 209, 851, 451.
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}.