Find the LCM of 360, 897, 379, 221, 867 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 360, 897, 379, 221, 867. So, keep reading to learn more.
Given numbers are 360,897,379,221,867
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 360,897,379,221,867 is 11789916840.
Find LCM of 360,897,379,221,867 with Prime Factorization
3 | 360, 897, 379, 221, 867 |
13 | 120, 299, 379, 221, 289 |
17 | 120, 23, 379, 17, 289 |
120, 23, 379, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 17 x 120 x 23 x 379 x 1 x 17 = 11789916840
Therefore, the lowest common multiple of 360,897,379,221,867 is 11789916840.
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.
360 x 897 x 379 x 221 x 867 = 23450144594760
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.
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
897 : 1, 3, 13, 23, 39, 69, 299, 897
379 : 1, 379
221 : 1, 13, 17, 221
867 : 1, 3, 17, 51, 289, 867
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 360,897,379,221,867, is 1.
Now, the common factors can be found like this.
360:2x 2x 2x 3x 3x 5
897:3x 13x 23
379:379
221:13x 17
867:3x 17x 17
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 13x 17 = 1989
Therefore, the value for common factors is 1989.
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 = 23450144594760/(1x1989)
LCM = 23450144594760/1989
LCM = 11789916840
Thus, we can understand that the LCM of 360,897,379,221,867 is 11789916840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 360, 897, 379, 221, 867?
Answer: LCM of 360, 897, 379, 221, 867 is 11789916840.
2. How to calculate the LCM of 360, 897, 379, 221, 867?
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 360, 897, 379, 221, 867.
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}.