Find the LCM of 218, 578, 949, 323 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 218, 578, 949, 323. So, keep reading to learn more.
Given numbers are 218,578,949,323
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 218,578,949,323 is 1135989062.
Find LCM of 218,578,949,323 with Prime Factorization
2 | 218, 578, 949, 323 |
17 | 109, 289, 949, 323 |
109, 17, 949, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 109 x 17 x 949 x 19 = 1135989062
Therefore, the lowest common multiple of 218,578,949,323 is 1135989062.
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.
218 x 578 x 949 x 323 = 38623628108
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.
218 : 1, 2, 109, 218
578 : 1, 2, 17, 34, 289, 578
949 : 1, 13, 73, 949
323 : 1, 17, 19, 323
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,578,949,323, is 1.
Now, the common factors can be found like this.
218:2x 109
578:2x 17x 17
949:13x 73
323:17x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17 = 34
Therefore, the value for common factors is 34.
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 = 38623628108/(1x34)
LCM = 38623628108/34
LCM = 1135989062
Thus, we can understand that the LCM of 218,578,949,323 is 1135989062.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 218, 578, 949, 323?
Answer: LCM of 218, 578, 949, 323 is 1135989062.
2. How to calculate the LCM of 218, 578, 949, 323?
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 218, 578, 949, 323.
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}.