Find the LCM of 260, 898, 898, 945 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 260, 898, 898, 945. So, keep reading to learn more.
Given numbers are 260,898,898,945
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 260,898,898,945 is 22063860.
Find LCM of 260,898,898,945 with Prime Factorization
2 | 260, 898, 898, 945 |
5 | 130, 449, 449, 945 |
449 | 26, 449, 449, 189 |
26, 1, 1, 189 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 449 x 26 x 1 x 1 x 189 = 22063860
Therefore, the lowest common multiple of 260,898,898,945 is 22063860.
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.
260 x 898 x 898 x 945 = 198133462800
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.
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
898 : 1, 2, 449, 898
898 : 1, 2, 449, 898
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,898,898,945, is 1.
Now, the common factors can be found like this.
260:2x 2x 5x 13
898:2x 449
898:2x 449
945:3x 3x 3x 5x 7
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 5x 449 = 8980
Therefore, the value for common factors is 8980.
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 = 198133462800/(1x8980)
LCM = 198133462800/8980
LCM = 22063860
Thus, we can understand that the LCM of 260,898,898,945 is 22063860.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 260, 898, 898, 945?
Answer: LCM of 260, 898, 898, 945 is 22063860.
2. How to calculate the LCM of 260, 898, 898, 945?
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 260, 898, 898, 945.
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}.