Find the LCM of 825, 429, 806, 699, 897 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 825, 429, 806, 699, 897. So, keep reading to learn more.
Given numbers are 825,429,806,699,897
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 825,429,806,699,897 is 3563467050.
Find LCM of 825,429,806,699,897 with Prime Factorization
3 | 825, 429, 806, 699, 897 |
11 | 275, 143, 806, 233, 299 |
13 | 25, 13, 806, 233, 299 |
25, 1, 62, 233, 23 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 13 x 25 x 1 x 62 x 233 x 23 = 3563467050
Therefore, the lowest common multiple of 825,429,806,699,897 is 3563467050.
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.
825 x 429 x 806 x 699 x 897 = 178861101640650
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.
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
429 : 1, 3, 11, 13, 33, 39, 143, 429
806 : 1, 2, 13, 26, 31, 62, 403, 806
699 : 1, 3, 233, 699
897 : 1, 3, 13, 23, 39, 69, 299, 897
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,429,806,699,897, is 1.
Now, the common factors can be found like this.
825:3x 5x 5x 11
429:3x 11x 13
806:2x 13x 31
699:3x 233
897:3x 13x 23
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 3x 11x 13x 13 = 50193
Therefore, the value for common factors is 50193.
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 = 178861101640650/(1x50193)
LCM = 178861101640650/50193
LCM = 3563467050
Thus, we can understand that the LCM of 825,429,806,699,897 is 3563467050.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 825, 429, 806, 699, 897?
Answer: LCM of 825, 429, 806, 699, 897 is 3563467050.
2. How to calculate the LCM of 825, 429, 806, 699, 897?
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 825, 429, 806, 699, 897.
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}.