Find the LCM of 417, 644, 598, 741 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 417, 644, 598, 741. So, keep reading to learn more.
Given numbers are 417,644,598,741
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 417,644,598,741 is 66331356.
Find LCM of 417,644,598,741 with Prime Factorization
2 | 417, 644, 598, 741 |
3 | 417, 322, 299, 741 |
13 | 139, 322, 299, 247 |
23 | 139, 322, 23, 19 |
139, 14, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 23 x 139 x 14 x 1 x 19 = 66331356
Therefore, the lowest common multiple of 417,644,598,741 is 66331356.
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.
417 x 644 x 598 x 741 = 118998452664
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.
417 : 1, 3, 139, 417
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
598 : 1, 2, 13, 23, 26, 46, 299, 598
741 : 1, 3, 13, 19, 39, 57, 247, 741
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 417,644,598,741, is 1.
Now, the common factors can be found like this.
417:3x 139
644:2x 2x 7x 23
598:2x 13x 23
741:3x 13x 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 3x 13x 23 = 1794
Therefore, the value for common factors is 1794.
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 = 118998452664/(1x1794)
LCM = 118998452664/1794
LCM = 66331356
Thus, we can understand that the LCM of 417,644,598,741 is 66331356.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 417, 644, 598, 741?
Answer: LCM of 417, 644, 598, 741 is 66331356.
2. How to calculate the LCM of 417, 644, 598, 741?
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 417, 644, 598, 741.
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}.