Find the LCM of 897, 825, 506, 558, 954 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 897, 825, 506, 558, 954. So, keep reading to learn more.
Given numbers are 897,825,506,558,954
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 897,825,506,558,954 is 2431722150.
Find LCM of 897,825,506,558,954 with Prime Factorization
2 | 897, 825, 506, 558, 954 |
3 | 897, 825, 253, 279, 477 |
3 | 299, 275, 253, 93, 159 |
11 | 299, 275, 253, 31, 53 |
23 | 299, 25, 23, 31, 53 |
13, 25, 1, 31, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 23 x 13 x 25 x 1 x 31 x 53 = 2431722150
Therefore, the lowest common multiple of 897,825,506,558,954 is 2431722150.
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.
897 x 825 x 506 x 558 x 954 = 199333128079800
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.
897 : 1, 3, 13, 23, 39, 69, 299, 897
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
506 : 1, 2, 11, 22, 23, 46, 253, 506
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 897,825,506,558,954, is 1.
Now, the common factors can be found like this.
897:3x 13x 23
825:3x 5x 5x 11
506:2x 11x 23
558:2x 3x 3x 31
954:2x 3x 3x 53
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 11x 23 = 81972
Therefore, the value for common factors is 81972.
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 = 199333128079800/(1x81972)
LCM = 199333128079800/81972
LCM = 2431722150
Thus, we can understand that the LCM of 897,825,506,558,954 is 2431722150.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 897, 825, 506, 558, 954?
Answer: LCM of 897, 825, 506, 558, 954 is 2431722150.
2. How to calculate the LCM of 897, 825, 506, 558, 954?
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 897, 825, 506, 558, 954.
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}.