Find the LCM of 315, 156, 729, 403, 768 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, 156, 729, 403, 768. So, keep reading to learn more.
Given numbers are 315,156,729,403,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,156,729,403,768 is 2632331520.
Find LCM of 315,156,729,403,768 with Prime Factorization
2 | 315, 156, 729, 403, 768 |
2 | 315, 78, 729, 403, 384 |
3 | 315, 39, 729, 403, 192 |
3 | 105, 13, 243, 403, 64 |
13 | 35, 13, 81, 403, 64 |
35, 1, 81, 31, 64 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 35 x 1 x 81 x 31 x 64 = 2632331520
Therefore, the lowest common multiple of 315,156,729,403,768 is 2632331520.
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 156 x 729 x 403 x 768 = 11087380362240
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
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
729 : 1, 3, 9, 27, 81, 243, 729
403 : 1, 13, 31, 403
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,156,729,403,768, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
156:2x 2x 3x 13
729:3x 3x 3x 3x 3x 3
403:13x 31
768:2x 2x 2x 2x 2x 2x 2x 2x 3
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 3x 3x 3x 13 = 4212
Therefore, the value for common factors is 4212.
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 = 11087380362240/(1x4212)
LCM = 11087380362240/4212
LCM = 2632331520
Thus, we can understand that the LCM of 315,156,729,403,768 is 2632331520.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 315, 156, 729, 403, 768?
Answer: LCM of 315, 156, 729, 403, 768 is 2632331520.
2. How to calculate the LCM of 315, 156, 729, 403, 768?
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, 156, 729, 403, 768.
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}.