Find the LCM of 574, 896, 393, 335, 603 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 574, 896, 393, 335, 603. So, keep reading to learn more.
Given numbers are 574,896,393,335,603
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 574,896,393,335,603 is 14509434240.
Find LCM of 574,896,393,335,603 with Prime Factorization
2 | 574, 896, 393, 335, 603 |
3 | 287, 448, 393, 335, 603 |
7 | 287, 448, 131, 335, 201 |
67 | 41, 64, 131, 335, 201 |
41, 64, 131, 5, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 67 x 41 x 64 x 131 x 5 x 3 = 14509434240
Therefore, the lowest common multiple of 574,896,393,335,603 is 14509434240.
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.
574 x 896 x 393 x 335 x 603 = 40829547951360
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.
574 : 1, 2, 7, 14, 41, 82, 287, 574
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
393 : 1, 3, 131, 393
335 : 1, 5, 67, 335
603 : 1, 3, 9, 67, 201, 603
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 574,896,393,335,603, is 1.
Now, the common factors can be found like this.
574:2x 7x 41
896:2x 2x 2x 2x 2x 2x 2x 7
393:3x 131
335:5x 67
603:3x 3x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 67 = 2814
Therefore, the value for common factors is 2814.
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 = 40829547951360/(1x2814)
LCM = 40829547951360/2814
LCM = 14509434240
Thus, we can understand that the LCM of 574,896,393,335,603 is 14509434240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 574, 896, 393, 335, 603?
Answer: LCM of 574, 896, 393, 335, 603 is 14509434240.
2. How to calculate the LCM of 574, 896, 393, 335, 603?
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 574, 896, 393, 335, 603.
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}.