Find the LCM of 315, 874, 644, 406, 687 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 315, 874, 644, 406, 687. So, keep reading to learn more.
Given numbers are 315,874,644,406,687
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,874,644,406,687 is 3656667420.
Find LCM of 315,874,644,406,687 with Prime Factorization
2 | 315, 874, 644, 406, 687 |
3 | 315, 437, 322, 203, 687 |
7 | 105, 437, 322, 203, 229 |
23 | 15, 437, 46, 29, 229 |
15, 19, 2, 29, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 23 x 15 x 19 x 2 x 29 x 229 = 3656667420
Therefore, the lowest common multiple of 315,874,644,406,687 is 3656667420.
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.
315 x 874 x 644 x 406 x 687 = 49452770188080
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
874 : 1, 2, 19, 23, 38, 46, 437, 874
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
406 : 1, 2, 7, 14, 29, 58, 203, 406
687 : 1, 3, 229, 687
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,874,644,406,687, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
874:2x 19x 23
644:2x 2x 7x 23
406:2x 7x 29
687:3x 229
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 7x 7x 23 = 13524
Therefore, the value for common factors is 13524.
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 = 49452770188080/(1x13524)
LCM = 49452770188080/13524
LCM = 3656667420
Thus, we can understand that the LCM of 315,874,644,406,687 is 3656667420.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 315, 874, 644, 406, 687?
Answer: LCM of 315, 874, 644, 406, 687 is 3656667420.
2. How to calculate the LCM of 315, 874, 644, 406, 687?
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 315, 874, 644, 406, 687.
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}.