Find the LCM of 114, 170, 950, 897, 911 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 114, 170, 950, 897, 911. So, keep reading to learn more.
Given numbers are 114,170,950,897,911
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 114,170,950,897,911 is 13197247050.
Find LCM of 114,170,950,897,911 with Prime Factorization
2 | 114, 170, 950, 897, 911 |
3 | 57, 85, 475, 897, 911 |
5 | 19, 85, 475, 299, 911 |
19 | 19, 17, 95, 299, 911 |
1, 17, 5, 299, 911 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 19 x 1 x 17 x 5 x 299 x 911 = 13197247050
Therefore, the lowest common multiple of 114,170,950,897,911 is 13197247050.
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.
114 x 170 x 950 x 897 x 911 = 15044861637000
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.
114 : 1, 2, 3, 6, 19, 38, 57, 114
170 : 1, 2, 5, 10, 17, 34, 85, 170
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
897 : 1, 3, 13, 23, 39, 69, 299, 897
911 : 1, 911
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,170,950,897,911, is 1.
Now, the common factors can be found like this.
114:2x 3x 19
170:2x 5x 17
950:2x 5x 5x 19
897:3x 13x 23
911:911
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 5x 19 = 1140
Therefore, the value for common factors is 1140.
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 = 15044861637000/(1x1140)
LCM = 15044861637000/1140
LCM = 13197247050
Thus, we can understand that the LCM of 114,170,950,897,911 is 13197247050.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 114, 170, 950, 897, 911?
Answer: LCM of 114, 170, 950, 897, 911 is 13197247050.
2. How to calculate the LCM of 114, 170, 950, 897, 911?
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 114, 170, 950, 897, 911.
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}.