Find the LCM of 855, 300, 985, 591 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, 300, 985, 591. So, keep reading to learn more.
Given numbers are 855,300,985,591
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 855,300,985,591 is 3368700.
Find LCM of 855,300,985,591 with Prime Factorization
3 | 855, 300, 985, 591 |
5 | 285, 100, 985, 197 |
197 | 57, 20, 197, 197 |
57, 20, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 197 x 57 x 20 x 1 x 1 = 3368700
Therefore, the lowest common multiple of 855,300,985,591 is 3368700.
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 300 x 985 x 591 = 149317627500
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
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
985 : 1, 5, 197, 985
591 : 1, 3, 197, 591
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,300,985,591, is 1.
Now, the common factors can be found like this.
855:3x 3x 5x 19
300:2x 2x 3x 5x 5
985:5x 197
591:3x 197
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 5x 197 = 44325
Therefore, the value for common factors is 44325.
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 = 149317627500/(1x44325)
LCM = 149317627500/44325
LCM = 3368700
Thus, we can understand that the LCM of 855,300,985,591 is 3368700.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 855, 300, 985, 591?
Answer: LCM of 855, 300, 985, 591 is 3368700.
2. How to calculate the LCM of 855, 300, 985, 591?
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, 300, 985, 591.
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}.