Find the LCM of 828, 897, 603, 648 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 828, 897, 603, 648. So, keep reading to learn more.
Given numbers are 828,897,603,648
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 828,897,603,648 is 12981384.
Find LCM of 828,897,603,648 with Prime Factorization
2 | 828, 897, 603, 648 |
2 | 414, 897, 603, 324 |
3 | 207, 897, 603, 162 |
3 | 69, 299, 201, 54 |
23 | 23, 299, 67, 18 |
1, 13, 67, 18 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 23 x 1 x 13 x 67 x 18 = 12981384
Therefore, the lowest common multiple of 828,897,603,648 is 12981384.
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.
828 x 897 x 603 x 648 = 290211820704
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.
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
897 : 1, 3, 13, 23, 39, 69, 299, 897
603 : 1, 3, 9, 67, 201, 603
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,897,603,648, is 3.
Now, the common factors can be found like this.
828:2x 2x 3x 3x 23
897:3x 13x 23
603:3x 3x 67
648:2x 2x 2x 3x 3x 3x 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 23 = 7452
Therefore, the value for common factors is 7452.
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 = 290211820704/(3x7452)
LCM = 290211820704/22356
LCM = 12981384
Thus, we can understand that the LCM of 828,897,603,648 is 12981384.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 828, 897, 603, 648?
Answer: LCM of 828, 897, 603, 648 is 12981384.
2. How to calculate the LCM of 828, 897, 603, 648?
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 828, 897, 603, 648.
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}.