LCM of 385, 78, 871, 605
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 385, 78, 871, 605 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 385, 78, 871, 605. So, keep reading to learn more.
Given numbers are 385,78,871,605
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 385,78,871,605 is 22132110.
Find LCM of 385,78,871,605 with Prime Factorization
| 5 | 385, 78, 871, 605 |
| 11 | 77, 78, 871, 121 |
| 13 | 7, 78, 871, 11 |
| 7, 6, 67, 11 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 13 x 7 x 6 x 67 x 11 = 22132110
Therefore, the lowest common multiple of 385,78,871,605 is 22132110.
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.
385 x 78 x 871 x 605 = 15824458650
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.
385 : 1, 5, 7, 11, 35, 55, 77, 385
78 : 1, 2, 3, 6, 13, 26, 39, 78
871 : 1, 13, 67, 871
605 : 1, 5, 11, 55, 121, 605
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 385,78,871,605, is 1.
Now, the common factors can be found like this.
385:5x 7x 11
78:2x 3x 13
871:13x 67
605:5x 11x 11
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 13 = 715
Therefore, the value for common factors is 715.
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 = 15824458650/(1x715)
LCM = 15824458650/715
LCM = 22132110
Thus, we can understand that the LCM of 385,78,871,605 is 22132110.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 385, 78, 871, 605
1. What is the LCM of 385, 78, 871, 605?
Answer: LCM of 385, 78, 871, 605 is 22132110.
2. How to calculate the LCM of 385, 78, 871, 605?
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 385, 78, 871, 605.
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}.