Find the LCM of 416, 501, 437, 939 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 416, 501, 437, 939. So, keep reading to learn more.
Given numbers are 416,501,437,939
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 416,501,437,939 is 28507348896.
Find LCM of 416,501,437,939 with Prime Factorization
3 | 416, 501, 437, 939 |
416, 167, 437, 313 |
Multiply the prime numbers at the bottom and the left side.
3 x 416 x 167 x 437 x 313 = 28507348896
Therefore, the lowest common multiple of 416,501,437,939 is 28507348896.
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.
416 x 501 x 437 x 939 = 85522046688
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.
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
501 : 1, 3, 167, 501
437 : 1, 19, 23, 437
939 : 1, 3, 313, 939
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,501,437,939, is 1.
Now, the common factors can be found like this.
416:2x 2x 2x 2x 2x 13
501:3x 167
437:19x 23
939:3x 313
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 85522046688/(1x3)
LCM = 85522046688/3
LCM = 28507348896
Thus, we can understand that the LCM of 416,501,437,939 is 28507348896.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 416, 501, 437, 939?
Answer: LCM of 416, 501, 437, 939 is 28507348896.
2. How to calculate the LCM of 416, 501, 437, 939?
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 416, 501, 437, 939.
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}.