Find the LCM of 407, 115, 446, 943, 936 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 407, 115, 446, 943, 936. So, keep reading to learn more.
Given numbers are 407,115,446,943,936
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 407,115,446,943,936 is 400550075640.
Find LCM of 407,115,446,943,936 with Prime Factorization
2 | 407, 115, 446, 943, 936 |
23 | 407, 115, 223, 943, 468 |
407, 5, 223, 41, 468 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 407 x 5 x 223 x 41 x 468 = 400550075640
Therefore, the lowest common multiple of 407,115,446,943,936 is 400550075640.
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.
407 x 115 x 446 x 943 x 936 = 18425303479440
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.
407 : 1, 11, 37, 407
115 : 1, 5, 23, 115
446 : 1, 2, 223, 446
943 : 1, 23, 41, 943
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,115,446,943,936, is 1.
Now, the common factors can be found like this.
407:11x 37
115:5x 23
446:2x 223
943:23x 41
936:2x 2x 2x 3x 3x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 23 = 46
Therefore, the value for common factors is 46.
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 = 18425303479440/(1x46)
LCM = 18425303479440/46
LCM = 400550075640
Thus, we can understand that the LCM of 407,115,446,943,936 is 400550075640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 407, 115, 446, 943, 936?
Answer: LCM of 407, 115, 446, 943, 936 is 400550075640.
2. How to calculate the LCM of 407, 115, 446, 943, 936?
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 407, 115, 446, 943, 936.
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}.