Find the LCM of 795, 958, 958, 413, 828 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 795, 958, 958, 413, 828. So, keep reading to learn more.
Given numbers are 795,958,958,413,828
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 795,958,958,413,828 is 43407200340.
Find LCM of 795,958,958,413,828 with Prime Factorization
2 | 795, 958, 958, 413, 828 |
3 | 795, 479, 479, 413, 414 |
479 | 265, 479, 479, 413, 138 |
265, 1, 1, 413, 138 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 479 x 265 x 1 x 1 x 413 x 138 = 43407200340
Therefore, the lowest common multiple of 795,958,958,413,828 is 43407200340.
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.
795 x 958 x 958 x 413 x 828 = 249504587554320
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.
795 : 1, 3, 5, 15, 53, 159, 265, 795
958 : 1, 2, 479, 958
958 : 1, 2, 479, 958
413 : 1, 7, 59, 413
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 795,958,958,413,828, is 1.
Now, the common factors can be found like this.
795:3x 5x 53
958:2x 479
958:2x 479
413:7x 59
828:2x 2x 3x 3x 23
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 479 = 5748
Therefore, the value for common factors is 5748.
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 = 249504587554320/(1x5748)
LCM = 249504587554320/5748
LCM = 43407200340
Thus, we can understand that the LCM of 795,958,958,413,828 is 43407200340.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 795, 958, 958, 413, 828?
Answer: LCM of 795, 958, 958, 413, 828 is 43407200340.
2. How to calculate the LCM of 795, 958, 958, 413, 828?
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 795, 958, 958, 413, 828.
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}.