Find the LCM of 218, 413, 270, 646, 315 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, 413, 270, 646, 315. So, keep reading to learn more.
Given numbers are 218,413,270,646,315
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 218,413,270,646,315 is 3925932570.
Find LCM of 218,413,270,646,315 with Prime Factorization
2 | 218, 413, 270, 646, 315 |
3 | 109, 413, 135, 323, 315 |
3 | 109, 413, 45, 323, 105 |
5 | 109, 413, 15, 323, 35 |
7 | 109, 413, 3, 323, 7 |
109, 59, 3, 323, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 109 x 59 x 3 x 323 x 1 = 3925932570
Therefore, the lowest common multiple of 218,413,270,646,315 is 3925932570.
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 413 x 270 x 646 x 315 = 4946675038200
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
413 : 1, 7, 59, 413
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
646 : 1, 2, 17, 19, 34, 38, 323, 646
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,413,270,646,315, is 1.
Now, the common factors can be found like this.
218:2x 109
413:7x 59
270:2x 3x 3x 3x 5
646:2x 17x 19
315:3x 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 3x 3x 5x 7 = 1260
Therefore, the value for common factors is 1260.
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 = 4946675038200/(1x1260)
LCM = 4946675038200/1260
LCM = 3925932570
Thus, we can understand that the LCM of 218,413,270,646,315 is 3925932570.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 218, 413, 270, 646, 315?
Answer: LCM of 218, 413, 270, 646, 315 is 3925932570.
2. How to calculate the LCM of 218, 413, 270, 646, 315?
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, 413, 270, 646, 315.
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}.