LCM of 855, 519, 545, 385, 872
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 855, 519, 545, 385, 872 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, 519, 545, 385, 872. So, keep reading to learn more.
Given numbers are 855,519,545,385,872
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 855,519,545,385,872 is 9931604760.
Find LCM of 855,519,545,385,872 with Prime Factorization
| 3 | 855, 519, 545, 385, 872 |
| 5 | 285, 173, 545, 385, 872 |
| 109 | 57, 173, 109, 77, 872 |
| 57, 173, 1, 77, 8 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 109 x 57 x 173 x 1 x 77 x 8 = 9931604760
Therefore, the lowest common multiple of 855,519,545,385,872 is 9931604760.
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 519 x 545 x 385 x 872 = 81190868913000
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
519 : 1, 3, 173, 519
545 : 1, 5, 109, 545
385 : 1, 5, 7, 11, 35, 55, 77, 385
872 : 1, 2, 4, 8, 109, 218, 436, 872
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,519,545,385,872, is 1.
Now, the common factors can be found like this.
855:3x 3x 5x 19
519:3x 173
545:5x 109
385:5x 7x 11
872:2x 2x 2x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 109 = 8175
Therefore, the value for common factors is 8175.
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 = 81190868913000/(1x8175)
LCM = 81190868913000/8175
LCM = 9931604760
Thus, we can understand that the LCM of 855,519,545,385,872 is 9931604760.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 855, 519, 545, 385, 872
1. What is the LCM of 855, 519, 545, 385, 872?
Answer: LCM of 855, 519, 545, 385, 872 is 9931604760.
2. How to calculate the LCM of 855, 519, 545, 385, 872?
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, 519, 545, 385, 872.
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}.