Find the LCM of 940, 327, 514, 946, 484 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 940, 327, 514, 946, 484. So, keep reading to learn more.
Given numbers are 940,327,514,946,484
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 940,327,514,946,484 is 411019621980.
Find LCM of 940,327,514,946,484 with Prime Factorization
2 | 940, 327, 514, 946, 484 |
2 | 470, 327, 257, 473, 242 |
11 | 235, 327, 257, 473, 121 |
235, 327, 257, 43, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 235 x 327 x 257 x 43 x 11 = 411019621980
Therefore, the lowest common multiple of 940,327,514,946,484 is 411019621980.
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.
940 x 327 x 514 x 946 x 484 = 72339453468480
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.
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
327 : 1, 3, 109, 327
514 : 1, 2, 257, 514
946 : 1, 2, 11, 22, 43, 86, 473, 946
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 940,327,514,946,484, is 1.
Now, the common factors can be found like this.
940:2x 2x 5x 47
327:3x 109
514:2x 257
946:2x 11x 43
484:2x 2x 11x 11
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 2x 11 = 176
Therefore, the value for common factors is 176.
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 = 72339453468480/(1x176)
LCM = 72339453468480/176
LCM = 411019621980
Thus, we can understand that the LCM of 940,327,514,946,484 is 411019621980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 940, 327, 514, 946, 484?
Answer: LCM of 940, 327, 514, 946, 484 is 411019621980.
2. How to calculate the LCM of 940, 327, 514, 946, 484?
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 940, 327, 514, 946, 484.
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}.