Find the LCM of 403, 451, 979, 315 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 403, 451, 979, 315. So, keep reading to learn more.
Given numbers are 403,451,979,315
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 403,451,979,315 is 5095445355.
Find LCM of 403,451,979,315 with Prime Factorization
11 | 403, 451, 979, 315 |
403, 41, 89, 315 |
Multiply the prime numbers at the bottom and the left side.
11 x 403 x 41 x 89 x 315 = 5095445355
Therefore, the lowest common multiple of 403,451,979,315 is 5095445355.
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.
403 x 451 x 979 x 315 = 56049898905
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.
403 : 1, 13, 31, 403
451 : 1, 11, 41, 451
979 : 1, 11, 89, 979
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,451,979,315, is 1.
Now, the common factors can be found like this.
403:13x 31
451:11x 41
979:11x 89
315:3x 3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 56049898905/(1x11)
LCM = 56049898905/11
LCM = 5095445355
Thus, we can understand that the LCM of 403,451,979,315 is 5095445355.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 403, 451, 979, 315?
Answer: LCM of 403, 451, 979, 315 is 5095445355.
2. How to calculate the LCM of 403, 451, 979, 315?
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 403, 451, 979, 315.
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}.