Find the LCM of 146, 718, 871, 419, 287 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 146, 718, 871, 419, 287. So, keep reading to learn more.
Given numbers are 146,718,871,419,287
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 146,718,871,419,287 is 5489861386282.
Find LCM of 146,718,871,419,287 with Prime Factorization
2 | 146, 718, 871, 419, 287 |
73, 359, 871, 419, 287 |
Multiply the prime numbers at the bottom and the left side.
2 x 73 x 359 x 871 x 419 x 287 = 5489861386282
Therefore, the lowest common multiple of 146,718,871,419,287 is 5489861386282.
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.
146 x 718 x 871 x 419 x 287 = 10979722772564
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.
146 : 1, 2, 73, 146
718 : 1, 2, 359, 718
871 : 1, 13, 67, 871
419 : 1, 419
287 : 1, 7, 41, 287
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 146,718,871,419,287, is 1.
Now, the common factors can be found like this.
146:2x 73
718:2x 359
871:13x 67
419:419
287:7x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 10979722772564/(1x2)
LCM = 10979722772564/2
LCM = 5489861386282
Thus, we can understand that the LCM of 146,718,871,419,287 is 5489861386282.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 146, 718, 871, 419, 287?
Answer: LCM of 146, 718, 871, 419, 287 is 5489861386282.
2. How to calculate the LCM of 146, 718, 871, 419, 287?
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 146, 718, 871, 419, 287.
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}.