Find the LCM of 115, 150, 897, 631 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 115, 150, 897, 631. So, keep reading to learn more.
Given numbers are 115,150,897,631
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 115,150,897,631 is 28300350.
Find LCM of 115,150,897,631 with Prime Factorization
3 | 115, 150, 897, 631 |
5 | 115, 50, 299, 631 |
23 | 23, 10, 299, 631 |
1, 10, 13, 631 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 23 x 1 x 10 x 13 x 631 = 28300350
Therefore, the lowest common multiple of 115,150,897,631 is 28300350.
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.
115 x 150 x 897 x 631 = 9763620750
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.
115 : 1, 5, 23, 115
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
897 : 1, 3, 13, 23, 39, 69, 299, 897
631 : 1, 631
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 115,150,897,631, is 1.
Now, the common factors can be found like this.
115:5x 23
150:2x 3x 5x 5
897:3x 13x 23
631:631
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 23 = 345
Therefore, the value for common factors is 345.
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 = 9763620750/(1x345)
LCM = 9763620750/345
LCM = 28300350
Thus, we can understand that the LCM of 115,150,897,631 is 28300350.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 115, 150, 897, 631?
Answer: LCM of 115, 150, 897, 631 is 28300350.
2. How to calculate the LCM of 115, 150, 897, 631?
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 115, 150, 897, 631.
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}.