Find the LCM of 864, 593, 915, 707, 299 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 864, 593, 915, 707, 299. So, keep reading to learn more.
Given numbers are 864,593,915,707,299
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 864,593,915,707,299 is 33033826032480.
Find LCM of 864,593,915,707,299 with Prime Factorization
3 | 864, 593, 915, 707, 299 |
288, 593, 305, 707, 299 |
Multiply the prime numbers at the bottom and the left side.
3 x 288 x 593 x 305 x 707 x 299 = 33033826032480
Therefore, the lowest common multiple of 864,593,915,707,299 is 33033826032480.
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.
864 x 593 x 915 x 707 x 299 = 99101478097440
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.
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
593 : 1, 593
915 : 1, 3, 5, 15, 61, 183, 305, 915
707 : 1, 7, 101, 707
299 : 1, 13, 23, 299
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,593,915,707,299, is 1.
Now, the common factors can be found like this.
864:2x 2x 2x 2x 2x 3x 3x 3
593:593
915:3x 5x 61
707:7x 101
299:13x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 99101478097440/(1x3)
LCM = 99101478097440/3
LCM = 33033826032480
Thus, we can understand that the LCM of 864,593,915,707,299 is 33033826032480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 864, 593, 915, 707, 299?
Answer: LCM of 864, 593, 915, 707, 299 is 33033826032480.
2. How to calculate the LCM of 864, 593, 915, 707, 299?
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 864, 593, 915, 707, 299.
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}.