Find the LCM of 330, 870, 986, 784, 882 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 330, 870, 986, 784, 882. So, keep reading to learn more.
Given numbers are 330,870,986,784,882
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 330,870,986,784,882 is 191323440.
Find LCM of 330,870,986,784,882 with Prime Factorization
2 | 330, 870, 986, 784, 882 |
3 | 165, 435, 493, 392, 441 |
5 | 55, 145, 493, 392, 147 |
7 | 11, 29, 493, 392, 147 |
7 | 11, 29, 493, 56, 21 |
29 | 11, 29, 493, 8, 3 |
11, 1, 17, 8, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 7 x 29 x 11 x 1 x 17 x 8 x 3 = 191323440
Therefore, the lowest common multiple of 330,870,986,784,882 is 191323440.
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.
330 x 870 x 986 x 784 x 882 = 195746837932800
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.
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
986 : 1, 2, 17, 29, 34, 58, 493, 986
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,870,986,784,882, is 2.
Now, the common factors can be found like this.
330:2x 3x 5x 11
870:2x 3x 5x 29
986:2x 17x 29
784:2x 2x 2x 2x 7x 7
882:2x 3x 3x 7x 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 2x 3x 3x 5x 7x 7x 29 = 511560
Therefore, the value for common factors is 511560.
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 = 195746837932800/(2x511560)
LCM = 195746837932800/1023120
LCM = 191323440
Thus, we can understand that the LCM of 330,870,986,784,882 is 191323440.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 330, 870, 986, 784, 882?
Answer: LCM of 330, 870, 986, 784, 882 is 191323440.
2. How to calculate the LCM of 330, 870, 986, 784, 882?
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 330, 870, 986, 784, 882.
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}.