Find the LCM of 855, 451, 209, 860 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 855, 451, 209, 860. So, keep reading to learn more.
Given numbers are 855,451,209,860
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 855,451,209,860 is 66324060.
Find LCM of 855,451,209,860 with Prime Factorization
5 | 855, 451, 209, 860 |
11 | 171, 451, 209, 172 |
19 | 171, 41, 19, 172 |
9, 41, 1, 172 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 19 x 9 x 41 x 1 x 172 = 66324060
Therefore, the lowest common multiple of 855,451,209,860 is 66324060.
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.
855 x 451 x 209 x 860 = 69308642700
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.
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
451 : 1, 11, 41, 451
209 : 1, 11, 19, 209
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,451,209,860, is 1.
Now, the common factors can be found like this.
855:3x 3x 5x 19
451:11x 41
209:11x 19
860:2x 2x 5x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 11x 19 = 1045
Therefore, the value for common factors is 1045.
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 = 69308642700/(1x1045)
LCM = 69308642700/1045
LCM = 66324060
Thus, we can understand that the LCM of 855,451,209,860 is 66324060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 855, 451, 209, 860?
Answer: LCM of 855, 451, 209, 860 is 66324060.
2. How to calculate the LCM of 855, 451, 209, 860?
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 855, 451, 209, 860.
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}.