Find the LCM of 413, 593, 617, 651 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 413, 593, 617, 651. So, keep reading to learn more.
Given numbers are 413,593,617,651
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 413,593,617,651 is 14053123329.
Find LCM of 413,593,617,651 with Prime Factorization
7 | 413, 593, 617, 651 |
59, 593, 617, 93 |
Multiply the prime numbers at the bottom and the left side.
7 x 59 x 593 x 617 x 93 = 14053123329
Therefore, the lowest common multiple of 413,593,617,651 is 14053123329.
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.
413 x 593 x 617 x 651 = 98371863303
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.
413 : 1, 7, 59, 413
593 : 1, 593
617 : 1, 617
651 : 1, 3, 7, 21, 31, 93, 217, 651
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 413,593,617,651, is 1.
Now, the common factors can be found like this.
413:7x 59
593:593
617:617
651:3x 7x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7 = 7
Therefore, the value for common factors is 7.
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 = 98371863303/(1x7)
LCM = 98371863303/7
LCM = 14053123329
Thus, we can understand that the LCM of 413,593,617,651 is 14053123329.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 413, 593, 617, 651?
Answer: LCM of 413, 593, 617, 651 is 14053123329.
2. How to calculate the LCM of 413, 593, 617, 651?
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 413, 593, 617, 651.
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}.