Find the LCM of 903, 897, 675, 805, 296 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 903, 897, 675, 805, 296. So, keep reading to learn more.
Given numbers are 903,897,675,805,296
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 903,897,675,805,296 is 17981800200.
Find LCM of 903,897,675,805,296 with Prime Factorization
3 | 903, 897, 675, 805, 296 |
5 | 301, 299, 225, 805, 296 |
7 | 301, 299, 45, 161, 296 |
23 | 43, 299, 45, 23, 296 |
43, 13, 45, 1, 296 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 23 x 43 x 13 x 45 x 1 x 296 = 17981800200
Therefore, the lowest common multiple of 903,897,675,805,296 is 17981800200.
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.
903 x 897 x 675 x 805 x 296 = 130278142449000
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.
903 : 1, 3, 7, 21, 43, 129, 301, 903
897 : 1, 3, 13, 23, 39, 69, 299, 897
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
805 : 1, 5, 7, 23, 35, 115, 161, 805
296 : 1, 2, 4, 8, 37, 74, 148, 296
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 903,897,675,805,296, is 1.
Now, the common factors can be found like this.
903:3x 7x 43
897:3x 13x 23
675:3x 3x 3x 5x 5
805:5x 7x 23
296:2x 2x 2x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 7x 23 = 7245
Therefore, the value for common factors is 7245.
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 = 130278142449000/(1x7245)
LCM = 130278142449000/7245
LCM = 17981800200
Thus, we can understand that the LCM of 903,897,675,805,296 is 17981800200.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 903, 897, 675, 805, 296?
Answer: LCM of 903, 897, 675, 805, 296 is 17981800200.
2. How to calculate the LCM of 903, 897, 675, 805, 296?
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 903, 897, 675, 805, 296.
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}.