Find the LCM of 911, 945, 338, 897, 520 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 911, 945, 338, 897, 520. So, keep reading to learn more.
Given numbers are 911,945,338,897,520
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 911,945,338,897,520 is 26770390920.
Find LCM of 911,945,338,897,520 with Prime Factorization
2 | 911, 945, 338, 897, 520 |
3 | 911, 945, 169, 897, 260 |
5 | 911, 315, 169, 299, 260 |
13 | 911, 63, 169, 299, 52 |
911, 63, 13, 23, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 911 x 63 x 13 x 23 x 4 = 26770390920
Therefore, the lowest common multiple of 911,945,338,897,520 is 26770390920.
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.
911 x 945 x 338 x 897 x 520 = 135725881964400
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.
911 : 1, 911
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
338 : 1, 2, 13, 26, 169, 338
897 : 1, 3, 13, 23, 39, 69, 299, 897
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 911,945,338,897,520, is 1.
Now, the common factors can be found like this.
911:911
945:3x 3x 3x 5x 7
338:2x 13x 13
897:3x 13x 23
520:2x 2x 2x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 13x 13 = 5070
Therefore, the value for common factors is 5070.
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 = 135725881964400/(1x5070)
LCM = 135725881964400/5070
LCM = 26770390920
Thus, we can understand that the LCM of 911,945,338,897,520 is 26770390920.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 911, 945, 338, 897, 520?
Answer: LCM of 911, 945, 338, 897, 520 is 26770390920.
2. How to calculate the LCM of 911, 945, 338, 897, 520?
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 911, 945, 338, 897, 520.
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}.