LCM of 873, 204, 855, 698, 485
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 873, 204, 855, 698, 485 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 873, 204, 855, 698, 485. So, keep reading to learn more.
Given numbers are 873,204,855,698,485
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 873,204,855,698,485 is 1968213420.
Find LCM of 873,204,855,698,485 with Prime Factorization
| 2 | 873, 204, 855, 698, 485 |
| 3 | 873, 102, 855, 349, 485 |
| 3 | 291, 34, 285, 349, 485 |
| 5 | 97, 34, 95, 349, 485 |
| 97 | 97, 34, 19, 349, 97 |
| 1, 34, 19, 349, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 97 x 1 x 34 x 19 x 349 x 1 = 1968213420
Therefore, the lowest common multiple of 873,204,855,698,485 is 1968213420.
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.
873 x 204 x 855 x 698 x 485 = 51547509469800
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.
873 : 1, 3, 9, 97, 291, 873
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
698 : 1, 2, 349, 698
485 : 1, 5, 97, 485
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 873,204,855,698,485, is 1.
Now, the common factors can be found like this.
873:3x 3x 97
204:2x 2x 3x 17
855:3x 3x 5x 19
698:2x 349
485:5x 97
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5x 97 = 26190
Therefore, the value for common factors is 26190.
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 = 51547509469800/(1x26190)
LCM = 51547509469800/26190
LCM = 1968213420
Thus, we can understand that the LCM of 873,204,855,698,485 is 1968213420.
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FAQs on LCM of 873, 204, 855, 698, 485
1. What is the LCM of 873, 204, 855, 698, 485?
Answer: LCM of 873, 204, 855, 698, 485 is 1968213420.
2. How to calculate the LCM of 873, 204, 855, 698, 485?
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 873, 204, 855, 698, 485.
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}.